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Finding the Third Proportional to 242,179.88 and 527,958

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Solution

The third proportional to 242,179.88 and 527,958 is: 1,150,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,179.88 : 527,958 = 527,958 : x
  2. Step 2: Convert to fraction form
    242,179.88/527,958 = 527,958/x
  3. Step 3: Cross multiply
    242,179.88x = 527,958 × 527,958
  4. Step 4: Simplify right side
    242,179.88x = 278,739,649,764
  5. Step 5: Solve for x
    x = 278,739,649,764/242,179.88
  6. Step 6: Final answer
    x = 1,150,961.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.