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Finding the Third Proportional to 220,743 and 341,725

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Solution

The third proportional to 220,743 and 341,725 is: 529,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,743 : 341,725 = 341,725 : x
  2. Step 2: Convert to fraction form
    220,743/341,725 = 341,725/x
  3. Step 3: Cross multiply
    220,743x = 341,725 × 341,725
  4. Step 4: Simplify right side
    220,743x = 116,775,975,625
  5. Step 5: Solve for x
    x = 116,775,975,625/220,743
  6. Step 6: Final answer
    x = 529,013.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.