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Finding the Third Proportional to 180,346.50 and 281,437.88

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Solution

The third proportional to 180,346.50 and 281,437.88 is: 439,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,346.50 : 281,437.88 = 281,437.88 : x
  2. Step 2: Convert to fraction form
    180,346.50/281,437.88 = 281,437.88/x
  3. Step 3: Cross multiply
    180,346.50x = 281,437.88 × 281,437.88
  4. Step 4: Simplify right side
    180,346.50x = 79,207,277,484.52
  5. Step 5: Solve for x
    x = 79,207,277,484.52/180,346.50
  6. Step 6: Final answer
    x = 439,194.98

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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.