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Finding the Third Proportional to 226,098 and 359,902

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Solution

The third proportional to 226,098 and 359,902 is: 572,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,098 : 359,902 = 359,902 : x
  2. Step 2: Convert to fraction form
    226,098/359,902 = 359,902/x
  3. Step 3: Cross multiply
    226,098x = 359,902 × 359,902
  4. Step 4: Simplify right side
    226,098x = 129,529,449,604
  5. Step 5: Solve for x
    x = 129,529,449,604/226,098
  6. Step 6: Final answer
    x = 572,890.74

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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.