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Finding the Third Proportional to 180,616 and 281,264

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Solution

The third proportional to 180,616 and 281,264 is: 437,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,616 : 281,264 = 281,264 : x
  2. Step 2: Convert to fraction form
    180,616/281,264 = 281,264/x
  3. Step 3: Cross multiply
    180,616x = 281,264 × 281,264
  4. Step 4: Simplify right side
    180,616x = 79,109,437,696
  5. Step 5: Solve for x
    x = 79,109,437,696/180,616
  6. Step 6: Final answer
    x = 437,997.95

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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.