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Finding the Third Proportional to 180,967 and 281,792

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Solution

The third proportional to 180,967 and 281,792 is: 438,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,967 : 281,792 = 281,792 : x
  2. Step 2: Convert to fraction form
    180,967/281,792 = 281,792/x
  3. Step 3: Cross multiply
    180,967x = 281,792 × 281,792
  4. Step 4: Simplify right side
    180,967x = 79,406,731,264
  5. Step 5: Solve for x
    x = 79,406,731,264/180,967
  6. Step 6: Final answer
    x = 438,791.22

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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.