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Finding the Third Proportional to 220,184 and 337,384

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Solution

The third proportional to 220,184 and 337,384 is: 516,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,184 : 337,384 = 337,384 : x
  2. Step 2: Convert to fraction form
    220,184/337,384 = 337,384/x
  3. Step 3: Cross multiply
    220,184x = 337,384 × 337,384
  4. Step 4: Simplify right side
    220,184x = 113,827,963,456
  5. Step 5: Solve for x
    x = 113,827,963,456/220,184
  6. Step 6: Final answer
    x = 516,967.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.