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Finding the Third Proportional to 131,744 and 288,472

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Solution

The third proportional to 131,744 and 288,472 is: 631,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,744 : 288,472 = 288,472 : x
  2. Step 2: Convert to fraction form
    131,744/288,472 = 288,472/x
  3. Step 3: Cross multiply
    131,744x = 288,472 × 288,472
  4. Step 4: Simplify right side
    131,744x = 83,216,094,784
  5. Step 5: Solve for x
    x = 83,216,094,784/131,744
  6. Step 6: Final answer
    x = 631,649.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.