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Finding the Third Proportional to 221,280 and 345,744

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Solution

The third proportional to 221,280 and 345,744 is: 540,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,280 : 345,744 = 345,744 : x
  2. Step 2: Convert to fraction form
    221,280/345,744 = 345,744/x
  3. Step 3: Cross multiply
    221,280x = 345,744 × 345,744
  4. Step 4: Simplify right side
    221,280x = 119,538,913,536
  5. Step 5: Solve for x
    x = 119,538,913,536/221,280
  6. Step 6: Final answer
    x = 540,215.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.