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Finding the Third Proportional to 132,951.38 and 279,844.88

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Solution

The third proportional to 132,951.38 and 279,844.88 is: 589,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,951.38 : 279,844.88 = 279,844.88 : x
  2. Step 2: Convert to fraction form
    132,951.38/279,844.88 = 279,844.88/x
  3. Step 3: Cross multiply
    132,951.38x = 279,844.88 × 279,844.88
  4. Step 4: Simplify right side
    132,951.38x = 78,313,154,063.77
  5. Step 5: Solve for x
    x = 78,313,154,063.77/132,951.38
  6. Step 6: Final answer
    x = 589,036.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.