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Finding the Third Proportional to 230,279.63 and 338,836.50

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Solution

The third proportional to 230,279.63 and 338,836.50 is: 498,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,279.63 : 338,836.50 = 338,836.50 : x
  2. Step 2: Convert to fraction form
    230,279.63/338,836.50 = 338,836.50/x
  3. Step 3: Cross multiply
    230,279.63x = 338,836.50 × 338,836.50
  4. Step 4: Simplify right side
    230,279.63x = 114,810,173,732.25
  5. Step 5: Solve for x
    x = 114,810,173,732.25/230,279.63
  6. Step 6: Final answer
    x = 498,568.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.