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Finding the Third Proportional to 138,759 and 297,202

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Solution

The third proportional to 138,759 and 297,202 is: 636,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,759 : 297,202 = 297,202 : x
  2. Step 2: Convert to fraction form
    138,759/297,202 = 297,202/x
  3. Step 3: Cross multiply
    138,759x = 297,202 × 297,202
  4. Step 4: Simplify right side
    138,759x = 88,329,028,804
  5. Step 5: Solve for x
    x = 88,329,028,804/138,759
  6. Step 6: Final answer
    x = 636,564.32

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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.