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Finding the Third Proportional to 132,151.50 and 268,920

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Solution

The third proportional to 132,151.50 and 268,920 is: 547,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,151.50 : 268,920 = 268,920 : x
  2. Step 2: Convert to fraction form
    132,151.50/268,920 = 268,920/x
  3. Step 3: Cross multiply
    132,151.50x = 268,920 × 268,920
  4. Step 4: Simplify right side
    132,151.50x = 72,317,966,400
  5. Step 5: Solve for x
    x = 72,317,966,400/132,151.50
  6. Step 6: Final answer
    x = 547,235.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.