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Finding the Third Proportional to 204,473.50 and 310,388.75

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Solution

The third proportional to 204,473.50 and 310,388.75 is: 471,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,473.50 : 310,388.75 = 310,388.75 : x
  2. Step 2: Convert to fraction form
    204,473.50/310,388.75 = 310,388.75/x
  3. Step 3: Cross multiply
    204,473.50x = 310,388.75 × 310,388.75
  4. Step 4: Simplify right side
    204,473.50x = 96,341,176,126.56
  5. Step 5: Solve for x
    x = 96,341,176,126.56/204,473.50
  6. Step 6: Final answer
    x = 471,167.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.