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Finding the Third Proportional to 180,866.25 and 392,861.25

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Solution

The third proportional to 180,866.25 and 392,861.25 is: 853,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,866.25 : 392,861.25 = 392,861.25 : x
  2. Step 2: Convert to fraction form
    180,866.25/392,861.25 = 392,861.25/x
  3. Step 3: Cross multiply
    180,866.25x = 392,861.25 × 392,861.25
  4. Step 4: Simplify right side
    180,866.25x = 154,339,961,751.56
  5. Step 5: Solve for x
    x = 154,339,961,751.56/180,866.25
  6. Step 6: Final answer
    x = 853,337.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.