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Finding the Third Proportional to 138,469 and 297,998

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Solution

The third proportional to 138,469 and 297,998 is: 641,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,469 : 297,998 = 297,998 : x
  2. Step 2: Convert to fraction form
    138,469/297,998 = 297,998/x
  3. Step 3: Cross multiply
    138,469x = 297,998 × 297,998
  4. Step 4: Simplify right side
    138,469x = 88,802,808,004
  5. Step 5: Solve for x
    x = 88,802,808,004/138,469
  6. Step 6: Final answer
    x = 641,319.05

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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.