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Finding the Third Proportional to 147,792 and 220,500

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Solution

The third proportional to 147,792 and 220,500 is: 328,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,792 : 220,500 = 220,500 : x
  2. Step 2: Convert to fraction form
    147,792/220,500 = 220,500/x
  3. Step 3: Cross multiply
    147,792x = 220,500 × 220,500
  4. Step 4: Simplify right side
    147,792x = 48,620,250,000
  5. Step 5: Solve for x
    x = 48,620,250,000/147,792
  6. Step 6: Final answer
    x = 328,977.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.