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Finding the Third Proportional to 141,871.50 and 267,340.50

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Solution

The third proportional to 141,871.50 and 267,340.50 is: 503,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,871.50 : 267,340.50 = 267,340.50 : x
  2. Step 2: Convert to fraction form
    141,871.50/267,340.50 = 267,340.50/x
  3. Step 3: Cross multiply
    141,871.50x = 267,340.50 × 267,340.50
  4. Step 4: Simplify right side
    141,871.50x = 71,470,942,940.25
  5. Step 5: Solve for x
    x = 71,470,942,940.25/141,871.50
  6. Step 6: Final answer
    x = 503,772.38

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.