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Finding the Third Proportional to 180,182.65 and 253,449.60

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Solution

The third proportional to 180,182.65 and 253,449.60 is: 356,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,182.65 : 253,449.60 = 253,449.60 : x
  2. Step 2: Convert to fraction form
    180,182.65/253,449.60 = 253,449.60/x
  3. Step 3: Cross multiply
    180,182.65x = 253,449.60 × 253,449.60
  4. Step 4: Simplify right side
    180,182.65x = 64,236,698,552.12
  5. Step 5: Solve for x
    x = 64,236,698,552.12/180,182.65
  6. Step 6: Final answer
    x = 356,508.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.