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Finding the Third Proportional to 138,607 and 220,350

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Solution

The third proportional to 138,607 and 220,350 is: 350,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,607 : 220,350 = 220,350 : x
  2. Step 2: Convert to fraction form
    138,607/220,350 = 220,350/x
  3. Step 3: Cross multiply
    138,607x = 220,350 × 220,350
  4. Step 4: Simplify right side
    138,607x = 48,554,122,500
  5. Step 5: Solve for x
    x = 48,554,122,500/138,607
  6. Step 6: Final answer
    x = 350,300.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.