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Finding the Third Proportional to 101,350 and 218,264

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Solution

The third proportional to 101,350 and 218,264 is: 470,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,350 : 218,264 = 218,264 : x
  2. Step 2: Convert to fraction form
    101,350/218,264 = 218,264/x
  3. Step 3: Cross multiply
    101,350x = 218,264 × 218,264
  4. Step 4: Simplify right side
    101,350x = 47,639,173,696
  5. Step 5: Solve for x
    x = 47,639,173,696/101,350
  6. Step 6: Final answer
    x = 470,046.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.