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Finding the Third Proportional to 229,186.13 and 344,211.19

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Solution

The third proportional to 229,186.13 and 344,211.19 is: 516,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,186.13 : 344,211.19 = 344,211.19 : x
  2. Step 2: Convert to fraction form
    229,186.13/344,211.19 = 344,211.19/x
  3. Step 3: Cross multiply
    229,186.13x = 344,211.19 × 344,211.19
  4. Step 4: Simplify right side
    229,186.13x = 118,481,341,600.16
  5. Step 5: Solve for x
    x = 118,481,341,600.16/229,186.13
  6. Step 6: Final answer
    x = 516,965.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.