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Finding the Third Proportional to 220,908 and 344,466

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Solution

The third proportional to 220,908 and 344,466 is: 537,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,908 : 344,466 = 344,466 : x
  2. Step 2: Convert to fraction form
    220,908/344,466 = 344,466/x
  3. Step 3: Cross multiply
    220,908x = 344,466 × 344,466
  4. Step 4: Simplify right side
    220,908x = 118,656,825,156
  5. Step 5: Solve for x
    x = 118,656,825,156/220,908
  6. Step 6: Final answer
    x = 537,132.31

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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.