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Finding the Third Proportional to 138,153 and 297,317

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Solution

The third proportional to 138,153 and 297,317 is: 639,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,153 : 297,317 = 297,317 : x
  2. Step 2: Convert to fraction form
    138,153/297,317 = 297,317/x
  3. Step 3: Cross multiply
    138,153x = 297,317 × 297,317
  4. Step 4: Simplify right side
    138,153x = 88,397,398,489
  5. Step 5: Solve for x
    x = 88,397,398,489/138,153
  6. Step 6: Final answer
    x = 639,851.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.