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Finding the Third Proportional to 122,836.50 and 268,587

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Solution

The third proportional to 122,836.50 and 268,587 is: 587,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836.50 : 268,587 = 268,587 : x
  2. Step 2: Convert to fraction form
    122,836.50/268,587 = 268,587/x
  3. Step 3: Cross multiply
    122,836.50x = 268,587 × 268,587
  4. Step 4: Simplify right side
    122,836.50x = 72,138,976,569
  5. Step 5: Solve for x
    x = 72,138,976,569/122,836.50
  6. Step 6: Final answer
    x = 587,276.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.