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Finding the Third Proportional to 227,691 and 334,155.38

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Solution

The third proportional to 227,691 and 334,155.38 is: 490,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,691 : 334,155.38 = 334,155.38 : x
  2. Step 2: Convert to fraction form
    227,691/334,155.38 = 334,155.38/x
  3. Step 3: Cross multiply
    227,691x = 334,155.38 × 334,155.38
  4. Step 4: Simplify right side
    227,691x = 111,659,814,641.39
  5. Step 5: Solve for x
    x = 111,659,814,641.39/227,691
  6. Step 6: Final answer
    x = 490,400.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.