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Finding the Third Proportional to 137,252 and 219,180

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Solution

The third proportional to 137,252 and 219,180 is: 350,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,252 : 219,180 = 219,180 : x
  2. Step 2: Convert to fraction form
    137,252/219,180 = 219,180/x
  3. Step 3: Cross multiply
    137,252x = 219,180 × 219,180
  4. Step 4: Simplify right side
    137,252x = 48,039,872,400
  5. Step 5: Solve for x
    x = 48,039,872,400/137,252
  6. Step 6: Final answer
    x = 350,012.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.