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Finding the Third Proportional to 110,850 and 229,584

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Solution

The third proportional to 110,850 and 229,584 is: 475,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,850 : 229,584 = 229,584 : x
  2. Step 2: Convert to fraction form
    110,850/229,584 = 229,584/x
  3. Step 3: Cross multiply
    110,850x = 229,584 × 229,584
  4. Step 4: Simplify right side
    110,850x = 52,708,813,056
  5. Step 5: Solve for x
    x = 52,708,813,056/110,850
  6. Step 6: Final answer
    x = 475,496.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.