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Finding the Third Proportional to 151,997.75 and 227,145.88

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Solution

The third proportional to 151,997.75 and 227,145.88 is: 339,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,997.75 : 227,145.88 = 227,145.88 : x
  2. Step 2: Convert to fraction form
    151,997.75/227,145.88 = 227,145.88/x
  3. Step 3: Cross multiply
    151,997.75x = 227,145.88 × 227,145.88
  4. Step 4: Simplify right side
    151,997.75x = 51,595,248,529.52
  5. Step 5: Solve for x
    x = 51,595,248,529.52/151,997.75
  6. Step 6: Final answer
    x = 339,447.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.