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Finding the Third Proportional to 132,344 and 205,084

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Solution

The third proportional to 132,344 and 205,084 is: 317,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,344 : 205,084 = 205,084 : x
  2. Step 2: Convert to fraction form
    132,344/205,084 = 205,084/x
  3. Step 3: Cross multiply
    132,344x = 205,084 × 205,084
  4. Step 4: Simplify right side
    132,344x = 42,059,447,056
  5. Step 5: Solve for x
    x = 42,059,447,056/132,344
  6. Step 6: Final answer
    x = 317,803.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.