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Finding the Third Proportional to 142,084 and 220,758

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Solution

The third proportional to 142,084 and 220,758 is: 342,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,084 : 220,758 = 220,758 : x
  2. Step 2: Convert to fraction form
    142,084/220,758 = 220,758/x
  3. Step 3: Cross multiply
    142,084x = 220,758 × 220,758
  4. Step 4: Simplify right side
    142,084x = 48,734,094,564
  5. Step 5: Solve for x
    x = 48,734,094,564/142,084
  6. Step 6: Final answer
    x = 342,994.95

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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.