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Finding the Third Proportional to 109,524 and 235,427

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Solution

The third proportional to 109,524 and 235,427 is: 506,061.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,524 : 235,427 = 235,427 : x
  2. Step 2: Convert to fraction form
    109,524/235,427 = 235,427/x
  3. Step 3: Cross multiply
    109,524x = 235,427 × 235,427
  4. Step 4: Simplify right side
    109,524x = 55,425,872,329
  5. Step 5: Solve for x
    x = 55,425,872,329/109,524
  6. Step 6: Final answer
    x = 506,061.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.