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Finding the Third Proportional to 128,638.13 and 341,449.17

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Solution

The third proportional to 128,638.13 and 341,449.17 is: 906,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,638.13 : 341,449.17 = 341,449.17 : x
  2. Step 2: Convert to fraction form
    128,638.13/341,449.17 = 341,449.17/x
  3. Step 3: Cross multiply
    128,638.13x = 341,449.17 × 341,449.17
  4. Step 4: Simplify right side
    128,638.13x = 116,587,536,974.12
  5. Step 5: Solve for x
    x = 116,587,536,974.12/128,638.13
  6. Step 6: Final answer
    x = 906,321.80

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.