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Finding the Third Proportional to 203,046.75 and 297,280.13

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Solution

The third proportional to 203,046.75 and 297,280.13 is: 435,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,046.75 : 297,280.13 = 297,280.13 : x
  2. Step 2: Convert to fraction form
    203,046.75/297,280.13 = 297,280.13/x
  3. Step 3: Cross multiply
    203,046.75x = 297,280.13 × 297,280.13
  4. Step 4: Simplify right side
    203,046.75x = 88,375,472,720.02
  5. Step 5: Solve for x
    x = 88,375,472,720.02/203,046.75
  6. Step 6: Final answer
    x = 435,246.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.