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Finding the Third Proportional to 180,626 and 281,280

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Solution

The third proportional to 180,626 and 281,280 is: 438,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,626 : 281,280 = 281,280 : x
  2. Step 2: Convert to fraction form
    180,626/281,280 = 281,280/x
  3. Step 3: Cross multiply
    180,626x = 281,280 × 281,280
  4. Step 4: Simplify right side
    180,626x = 79,118,438,400
  5. Step 5: Solve for x
    x = 79,118,438,400/180,626
  6. Step 6: Final answer
    x = 438,023.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.