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Finding the Third Proportional to 227,341.69 and 316,099.13

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Solution

The third proportional to 227,341.69 and 316,099.13 is: 439,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,341.69 : 316,099.13 = 316,099.13 : x
  2. Step 2: Convert to fraction form
    227,341.69/316,099.13 = 316,099.13/x
  3. Step 3: Cross multiply
    227,341.69x = 316,099.13 × 316,099.13
  4. Step 4: Simplify right side
    227,341.69x = 99,918,656,825.77
  5. Step 5: Solve for x
    x = 99,918,656,825.77/227,341.69
  6. Step 6: Final answer
    x = 439,508.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.