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Finding the Third Proportional to 221,384 and 345,900

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Solution

The third proportional to 221,384 and 345,900 is: 540,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,384 : 345,900 = 345,900 : x
  2. Step 2: Convert to fraction form
    221,384/345,900 = 345,900/x
  3. Step 3: Cross multiply
    221,384x = 345,900 × 345,900
  4. Step 4: Simplify right side
    221,384x = 119,646,810,000
  5. Step 5: Solve for x
    x = 119,646,810,000/221,384
  6. Step 6: Final answer
    x = 540,449.22

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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.