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Finding the Third Proportional to 221,079 and 333,452

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Solution

The third proportional to 221,079 and 333,452 is: 502,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,079 : 333,452 = 333,452 : x
  2. Step 2: Convert to fraction form
    221,079/333,452 = 333,452/x
  3. Step 3: Cross multiply
    221,079x = 333,452 × 333,452
  4. Step 4: Simplify right side
    221,079x = 111,190,236,304
  5. Step 5: Solve for x
    x = 111,190,236,304/221,079
  6. Step 6: Final answer
    x = 502,943.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.