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Finding the Third Proportional to 110,387 and 245,756

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Solution

The third proportional to 110,387 and 245,756 is: 547,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,387 : 245,756 = 245,756 : x
  2. Step 2: Convert to fraction form
    110,387/245,756 = 245,756/x
  3. Step 3: Cross multiply
    110,387x = 245,756 × 245,756
  4. Step 4: Simplify right side
    110,387x = 60,396,011,536
  5. Step 5: Solve for x
    x = 60,396,011,536/110,387
  6. Step 6: Final answer
    x = 547,129.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.