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Finding the Third Proportional to 204,211.13 and 305,086.50

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Solution

The third proportional to 204,211.13 and 305,086.50 is: 455,791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,211.13 : 305,086.50 = 305,086.50 : x
  2. Step 2: Convert to fraction form
    204,211.13/305,086.50 = 305,086.50/x
  3. Step 3: Cross multiply
    204,211.13x = 305,086.50 × 305,086.50
  4. Step 4: Simplify right side
    204,211.13x = 93,077,772,482.25
  5. Step 5: Solve for x
    x = 93,077,772,482.25/204,211.13
  6. Step 6: Final answer
    x = 455,791.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.