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Finding the Third Proportional to 179,932.13 and 384,772.88

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Solution

The third proportional to 179,932.13 and 384,772.88 is: 822,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,932.13 : 384,772.88 = 384,772.88 : x
  2. Step 2: Convert to fraction form
    179,932.13/384,772.88 = 384,772.88/x
  3. Step 3: Cross multiply
    179,932.13x = 384,772.88 × 384,772.88
  4. Step 4: Simplify right side
    179,932.13x = 148,050,165,335.77
  5. Step 5: Solve for x
    x = 148,050,165,335.77/179,932.13
  6. Step 6: Final answer
    x = 822,811.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.