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Finding the Third Proportional to 219,524 and 331,017

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Solution

The third proportional to 219,524 and 331,017 is: 499,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,524 : 331,017 = 331,017 : x
  2. Step 2: Convert to fraction form
    219,524/331,017 = 331,017/x
  3. Step 3: Cross multiply
    219,524x = 331,017 × 331,017
  4. Step 4: Simplify right side
    219,524x = 109,572,254,289
  5. Step 5: Solve for x
    x = 109,572,254,289/219,524
  6. Step 6: Final answer
    x = 499,135.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.