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Finding the Third Proportional to 221,734 and 341,350

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Solution

The third proportional to 221,734 and 341,350 is: 525,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,734 : 341,350 = 341,350 : x
  2. Step 2: Convert to fraction form
    221,734/341,350 = 341,350/x
  3. Step 3: Cross multiply
    221,734x = 341,350 × 341,350
  4. Step 4: Simplify right side
    221,734x = 116,519,822,500
  5. Step 5: Solve for x
    x = 116,519,822,500/221,734
  6. Step 6: Final answer
    x = 525,493.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.