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Finding the Third Proportional to 180,608.25 and 281,253.75

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Solution

The third proportional to 180,608.25 and 281,253.75 is: 437,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,608.25 : 281,253.75 = 281,253.75 : x
  2. Step 2: Convert to fraction form
    180,608.25/281,253.75 = 281,253.75/x
  3. Step 3: Cross multiply
    180,608.25x = 281,253.75 × 281,253.75
  4. Step 4: Simplify right side
    180,608.25x = 79,103,671,889.06
  5. Step 5: Solve for x
    x = 79,103,671,889.06/180,608.25
  6. Step 6: Final answer
    x = 437,984.82

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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.