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Finding the Third Proportional to 138,005 and 297,151

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Solution

The third proportional to 138,005 and 297,151 is: 639,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,005 : 297,151 = 297,151 : x
  2. Step 2: Convert to fraction form
    138,005/297,151 = 297,151/x
  3. Step 3: Cross multiply
    138,005x = 297,151 × 297,151
  4. Step 4: Simplify right side
    138,005x = 88,298,716,801
  5. Step 5: Solve for x
    x = 88,298,716,801/138,005
  6. Step 6: Final answer
    x = 639,822.59

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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.