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Finding the Third Proportional to 132,478 and 204,670

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Solution

The third proportional to 132,478 and 204,670 is: 316,202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,478 : 204,670 = 204,670 : x
  2. Step 2: Convert to fraction form
    132,478/204,670 = 204,670/x
  3. Step 3: Cross multiply
    132,478x = 204,670 × 204,670
  4. Step 4: Simplify right side
    132,478x = 41,889,808,900
  5. Step 5: Solve for x
    x = 41,889,808,900/132,478
  6. Step 6: Final answer
    x = 316,202.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.