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Finding the Third Proportional to 180,627.75 and 281,284.88

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Solution

The third proportional to 180,627.75 and 281,284.88 is: 438,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,627.75 : 281,284.88 = 281,284.88 : x
  2. Step 2: Convert to fraction form
    180,627.75/281,284.88 = 281,284.88/x
  3. Step 3: Cross multiply
    180,627.75x = 281,284.88 × 281,284.88
  4. Step 4: Simplify right side
    180,627.75x = 79,121,180,903.77
  5. Step 5: Solve for x
    x = 79,121,180,903.77/180,627.75
  6. Step 6: Final answer
    x = 438,034.47

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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.