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Finding the Third Proportional to 84,295.13 and 180,583.88

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Solution

The third proportional to 84,295.13 and 180,583.88 is: 386,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,295.13 : 180,583.88 = 180,583.88 : x
  2. Step 2: Convert to fraction form
    84,295.13/180,583.88 = 180,583.88/x
  3. Step 3: Cross multiply
    84,295.13x = 180,583.88 × 180,583.88
  4. Step 4: Simplify right side
    84,295.13x = 32,610,535,910.02
  5. Step 5: Solve for x
    x = 32,610,535,910.02/84,295.13
  6. Step 6: Final answer
    x = 386,861.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.