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Finding the Third Proportional to 135,748 and 292,306

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Solution

The third proportional to 135,748 and 292,306 is: 629,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,748 : 292,306 = 292,306 : x
  2. Step 2: Convert to fraction form
    135,748/292,306 = 292,306/x
  3. Step 3: Cross multiply
    135,748x = 292,306 × 292,306
  4. Step 4: Simplify right side
    135,748x = 85,442,797,636
  5. Step 5: Solve for x
    x = 85,442,797,636/135,748
  6. Step 6: Final answer
    x = 629,422.15

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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.