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Finding the Third Proportional to 220,671 and 338,114.25

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Solution

The third proportional to 220,671 and 338,114.25 is: 518,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,671 : 338,114.25 = 338,114.25 : x
  2. Step 2: Convert to fraction form
    220,671/338,114.25 = 338,114.25/x
  3. Step 3: Cross multiply
    220,671x = 338,114.25 × 338,114.25
  4. Step 4: Simplify right side
    220,671x = 114,321,246,053.06
  5. Step 5: Solve for x
    x = 114,321,246,053.06/220,671
  6. Step 6: Final answer
    x = 518,061.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.