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Finding the Third Proportional to 151,419 and 235,116.75

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Solution

The third proportional to 151,419 and 235,116.75 is: 365,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,419 : 235,116.75 = 235,116.75 : x
  2. Step 2: Convert to fraction form
    151,419/235,116.75 = 235,116.75/x
  3. Step 3: Cross multiply
    151,419x = 235,116.75 × 235,116.75
  4. Step 4: Simplify right side
    151,419x = 55,279,886,130.56
  5. Step 5: Solve for x
    x = 55,279,886,130.56/151,419
  6. Step 6: Final answer
    x = 365,078.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.