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Finding the Third Proportional to 84,246.56 and 180,339.38

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Solution

The third proportional to 84,246.56 and 180,339.38 is: 386,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,246.56 : 180,339.38 = 180,339.38 : x
  2. Step 2: Convert to fraction form
    84,246.56/180,339.38 = 180,339.38/x
  3. Step 3: Cross multiply
    84,246.56x = 180,339.38 × 180,339.38
  4. Step 4: Simplify right side
    84,246.56x = 32,522,290,175.39
  5. Step 5: Solve for x
    x = 32,522,290,175.39/84,246.56
  6. Step 6: Final answer
    x = 386,037.00

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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.