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Finding the Third Proportional to 226,537 and 359,894

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Solution

The third proportional to 226,537 and 359,894 is: 571,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,537 : 359,894 = 359,894 : x
  2. Step 2: Convert to fraction form
    226,537/359,894 = 359,894/x
  3. Step 3: Cross multiply
    226,537x = 359,894 × 359,894
  4. Step 4: Simplify right side
    226,537x = 129,523,691,236
  5. Step 5: Solve for x
    x = 129,523,691,236/226,537
  6. Step 6: Final answer
    x = 571,755.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.