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Finding the Third Proportional to 138,801 and 297,309

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Solution

The third proportional to 138,801 and 297,309 is: 636,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,801 : 297,309 = 297,309 : x
  2. Step 2: Convert to fraction form
    138,801/297,309 = 297,309/x
  3. Step 3: Cross multiply
    138,801x = 297,309 × 297,309
  4. Step 4: Simplify right side
    138,801x = 88,392,641,481
  5. Step 5: Solve for x
    x = 88,392,641,481/138,801
  6. Step 6: Final answer
    x = 636,830.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.