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Finding the Third Proportional to 71,364.38 and 155,440.69

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Solution

The third proportional to 71,364.38 and 155,440.69 is: 338,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,364.38 : 155,440.69 = 155,440.69 : x
  2. Step 2: Convert to fraction form
    71,364.38/155,440.69 = 155,440.69/x
  3. Step 3: Cross multiply
    71,364.38x = 155,440.69 × 155,440.69
  4. Step 4: Simplify right side
    71,364.38x = 24,161,807,330.47
  5. Step 5: Solve for x
    x = 24,161,807,330.47/71,364.38
  6. Step 6: Final answer
    x = 338,569.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.