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Finding the Third Proportional to 71,361.84 and 155,437.31

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Solution

The third proportional to 71,361.84 and 155,437.31 is: 338,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,361.84 : 155,437.31 = 155,437.31 : x
  2. Step 2: Convert to fraction form
    71,361.84/155,437.31 = 155,437.31/x
  3. Step 3: Cross multiply
    71,361.84x = 155,437.31 × 155,437.31
  4. Step 4: Simplify right side
    71,361.84x = 24,160,758,117.22
  5. Step 5: Solve for x
    x = 24,160,758,117.22/71,361.84
  6. Step 6: Final answer
    x = 338,566.90

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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.