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Finding the Third Proportional to 136,596 and 278,613

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Solution

The third proportional to 136,596 and 278,613 is: 568,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,596 : 278,613 = 278,613 : x
  2. Step 2: Convert to fraction form
    136,596/278,613 = 278,613/x
  3. Step 3: Cross multiply
    136,596x = 278,613 × 278,613
  4. Step 4: Simplify right side
    136,596x = 77,625,203,769
  5. Step 5: Solve for x
    x = 77,625,203,769/136,596
  6. Step 6: Final answer
    x = 568,283.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.