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Finding the Third Proportional to 115,533 and 247,662

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Solution

The third proportional to 115,533 and 247,662 is: 530,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,533 : 247,662 = 247,662 : x
  2. Step 2: Convert to fraction form
    115,533/247,662 = 247,662/x
  3. Step 3: Cross multiply
    115,533x = 247,662 × 247,662
  4. Step 4: Simplify right side
    115,533x = 61,336,466,244
  5. Step 5: Solve for x
    x = 61,336,466,244/115,533
  6. Step 6: Final answer
    x = 530,899.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.