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Finding the Third Proportional to 226,092.56 and 359,895.19

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Solution

The third proportional to 226,092.56 and 359,895.19 is: 572,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,092.56 : 359,895.19 = 359,895.19 : x
  2. Step 2: Convert to fraction form
    226,092.56/359,895.19 = 359,895.19/x
  3. Step 3: Cross multiply
    226,092.56x = 359,895.19 × 359,895.19
  4. Step 4: Simplify right side
    226,092.56x = 129,524,545,985.66
  5. Step 5: Solve for x
    x = 129,524,545,985.66/226,092.56
  6. Step 6: Final answer
    x = 572,882.83

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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.