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Finding the Third Proportional to 134,757.75 and 296,857.50

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Solution

The third proportional to 134,757.75 and 296,857.50 is: 653,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,757.75 : 296,857.50 = 296,857.50 : x
  2. Step 2: Convert to fraction form
    134,757.75/296,857.50 = 296,857.50/x
  3. Step 3: Cross multiply
    134,757.75x = 296,857.50 × 296,857.50
  4. Step 4: Simplify right side
    134,757.75x = 88,124,375,306.25
  5. Step 5: Solve for x
    x = 88,124,375,306.25/134,757.75
  6. Step 6: Final answer
    x = 653,946.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.