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Finding the Third Proportional to 131,472 and 206,017

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Solution

The third proportional to 131,472 and 206,017 is: 322,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,472 : 206,017 = 206,017 : x
  2. Step 2: Convert to fraction form
    131,472/206,017 = 206,017/x
  3. Step 3: Cross multiply
    131,472x = 206,017 × 206,017
  4. Step 4: Simplify right side
    131,472x = 42,443,004,289
  5. Step 5: Solve for x
    x = 42,443,004,289/131,472
  6. Step 6: Final answer
    x = 322,829.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.