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Finding the Third Proportional to 136,517 and 283,933

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Solution

The third proportional to 136,517 and 283,933 is: 590,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,517 : 283,933 = 283,933 : x
  2. Step 2: Convert to fraction form
    136,517/283,933 = 283,933/x
  3. Step 3: Cross multiply
    136,517x = 283,933 × 283,933
  4. Step 4: Simplify right side
    136,517x = 80,617,948,489
  5. Step 5: Solve for x
    x = 80,617,948,489/136,517
  6. Step 6: Final answer
    x = 590,534.13

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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.