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Finding the Third Proportional to 185,280 and 281,664

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Solution

The third proportional to 185,280 and 281,664 is: 428,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,280 : 281,664 = 281,664 : x
  2. Step 2: Convert to fraction form
    185,280/281,664 = 281,664/x
  3. Step 3: Cross multiply
    185,280x = 281,664 × 281,664
  4. Step 4: Simplify right side
    185,280x = 79,334,608,896
  5. Step 5: Solve for x
    x = 79,334,608,896/185,280
  6. Step 6: Final answer
    x = 428,187.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.