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Finding the Third Proportional to 160,561 and 250,032

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Solution

The third proportional to 160,561 and 250,032 is: 389,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,561 : 250,032 = 250,032 : x
  2. Step 2: Convert to fraction form
    160,561/250,032 = 250,032/x
  3. Step 3: Cross multiply
    160,561x = 250,032 × 250,032
  4. Step 4: Simplify right side
    160,561x = 62,516,001,024
  5. Step 5: Solve for x
    x = 62,516,001,024/160,561
  6. Step 6: Final answer
    x = 389,359.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.