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Finding the Third Proportional to 142,650 and 220,657.50

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Solution

The third proportional to 142,650 and 220,657.50 is: 341,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,650 : 220,657.50 = 220,657.50 : x
  2. Step 2: Convert to fraction form
    142,650/220,657.50 = 220,657.50/x
  3. Step 3: Cross multiply
    142,650x = 220,657.50 × 220,657.50
  4. Step 4: Simplify right side
    142,650x = 48,689,732,306.25
  5. Step 5: Solve for x
    x = 48,689,732,306.25/142,650
  6. Step 6: Final answer
    x = 341,323.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.