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Finding the Third Proportional to 187,446 and 286,737

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Solution

The third proportional to 187,446 and 286,737 is: 438,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,446 : 286,737 = 286,737 : x
  2. Step 2: Convert to fraction form
    187,446/286,737 = 286,737/x
  3. Step 3: Cross multiply
    187,446x = 286,737 × 286,737
  4. Step 4: Simplify right side
    187,446x = 82,218,107,169
  5. Step 5: Solve for x
    x = 82,218,107,169/187,446
  6. Step 6: Final answer
    x = 438,622.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.