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Finding the Third Proportional to 137,429 and 297,067

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Solution

The third proportional to 137,429 and 297,067 is: 642,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,429 : 297,067 = 297,067 : x
  2. Step 2: Convert to fraction form
    137,429/297,067 = 297,067/x
  3. Step 3: Cross multiply
    137,429x = 297,067 × 297,067
  4. Step 4: Simplify right side
    137,429x = 88,248,802,489
  5. Step 5: Solve for x
    x = 88,248,802,489/137,429
  6. Step 6: Final answer
    x = 642,141.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.