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Finding the Third Proportional to 135,488 and 293,566

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Solution

The third proportional to 135,488 and 293,566 is: 636,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,488 : 293,566 = 293,566 : x
  2. Step 2: Convert to fraction form
    135,488/293,566 = 293,566/x
  3. Step 3: Cross multiply
    135,488x = 293,566 × 293,566
  4. Step 4: Simplify right side
    135,488x = 86,180,996,356
  5. Step 5: Solve for x
    x = 86,180,996,356/135,488
  6. Step 6: Final answer
    x = 636,078.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.