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Finding the Third Proportional to 268,732.13 and 406,572.19

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Solution

The third proportional to 268,732.13 and 406,572.19 is: 615,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,732.13 : 406,572.19 = 406,572.19 : x
  2. Step 2: Convert to fraction form
    268,732.13/406,572.19 = 406,572.19/x
  3. Step 3: Cross multiply
    268,732.13x = 406,572.19 × 406,572.19
  4. Step 4: Simplify right side
    268,732.13x = 165,300,943,648.54
  5. Step 5: Solve for x
    x = 165,300,943,648.54/268,732.13
  6. Step 6: Final answer
    x = 615,114.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.