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Finding the Third Proportional to 142,651 and 220,763

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Solution

The third proportional to 142,651 and 220,763 is: 341,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,651 : 220,763 = 220,763 : x
  2. Step 2: Convert to fraction form
    142,651/220,763 = 220,763/x
  3. Step 3: Cross multiply
    142,651x = 220,763 × 220,763
  4. Step 4: Simplify right side
    142,651x = 48,736,302,169
  5. Step 5: Solve for x
    x = 48,736,302,169/142,651
  6. Step 6: Final answer
    x = 341,647.11

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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.