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Finding the Third Proportional to 136,540 and 283,982

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Solution

The third proportional to 136,540 and 283,982 is: 590,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,540 : 283,982 = 283,982 : x
  2. Step 2: Convert to fraction form
    136,540/283,982 = 283,982/x
  3. Step 3: Cross multiply
    136,540x = 283,982 × 283,982
  4. Step 4: Simplify right side
    136,540x = 80,645,776,324
  5. Step 5: Solve for x
    x = 80,645,776,324/136,540
  6. Step 6: Final answer
    x = 590,638.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.