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Finding the Third Proportional to 109,572 and 233,265

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Solution

The third proportional to 109,572 and 233,265 is: 496,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,572 : 233,265 = 233,265 : x
  2. Step 2: Convert to fraction form
    109,572/233,265 = 233,265/x
  3. Step 3: Cross multiply
    109,572x = 233,265 × 233,265
  4. Step 4: Simplify right side
    109,572x = 54,412,560,225
  5. Step 5: Solve for x
    x = 54,412,560,225/109,572
  6. Step 6: Final answer
    x = 496,591.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.