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Finding the Third Proportional to 106,398 and 230,523

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Solution

The third proportional to 106,398 and 230,523 is: 499,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398 : 230,523 = 230,523 : x
  2. Step 2: Convert to fraction form
    106,398/230,523 = 230,523/x
  3. Step 3: Cross multiply
    106,398x = 230,523 × 230,523
  4. Step 4: Simplify right side
    106,398x = 53,140,853,529
  5. Step 5: Solve for x
    x = 53,140,853,529/106,398
  6. Step 6: Final answer
    x = 499,453.50

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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.