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Finding the Third Proportional to 151,008.75 and 181,353.75

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Solution

The third proportional to 151,008.75 and 181,353.75 is: 217,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,008.75 : 181,353.75 = 181,353.75 : x
  2. Step 2: Convert to fraction form
    151,008.75/181,353.75 = 181,353.75/x
  3. Step 3: Cross multiply
    151,008.75x = 181,353.75 × 181,353.75
  4. Step 4: Simplify right side
    151,008.75x = 32,889,182,639.06
  5. Step 5: Solve for x
    x = 32,889,182,639.06/151,008.75
  6. Step 6: Final answer
    x = 217,796.54

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.