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Finding the Third Proportional to 204,463.50 and 310,374.56

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Solution

The third proportional to 204,463.50 and 310,374.56 is: 471,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,463.50 : 310,374.56 = 310,374.56 : x
  2. Step 2: Convert to fraction form
    204,463.50/310,374.56 = 310,374.56/x
  3. Step 3: Cross multiply
    204,463.50x = 310,374.56 × 310,374.56
  4. Step 4: Simplify right side
    204,463.50x = 96,332,369,047.07
  5. Step 5: Solve for x
    x = 96,332,369,047.07/204,463.50
  6. Step 6: Final answer
    x = 471,147.02

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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.