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Finding the Third Proportional to 229,302.56 and 343,404.56

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Solution

The third proportional to 229,302.56 and 343,404.56 is: 514,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,302.56 : 343,404.56 = 343,404.56 : x
  2. Step 2: Convert to fraction form
    229,302.56/343,404.56 = 343,404.56/x
  3. Step 3: Cross multiply
    229,302.56x = 343,404.56 × 343,404.56
  4. Step 4: Simplify right side
    229,302.56x = 117,926,693,545.82
  5. Step 5: Solve for x
    x = 117,926,693,545.82/229,302.56
  6. Step 6: Final answer
    x = 514,284.24

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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.