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Finding the Third Proportional to 235,524 and 510,192

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Solution

The third proportional to 235,524 and 510,192 is: 1,105,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,524 : 510,192 = 510,192 : x
  2. Step 2: Convert to fraction form
    235,524/510,192 = 510,192/x
  3. Step 3: Cross multiply
    235,524x = 510,192 × 510,192
  4. Step 4: Simplify right side
    235,524x = 260,295,876,864
  5. Step 5: Solve for x
    x = 260,295,876,864/235,524
  6. Step 6: Final answer
    x = 1,105,177.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.