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Finding the Third Proportional to 200,079.28 and 305,200.41

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Solution

The third proportional to 200,079.28 and 305,200.41 is: 465,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,079.28 : 305,200.41 = 305,200.41 : x
  2. Step 2: Convert to fraction form
    200,079.28/305,200.41 = 305,200.41/x
  3. Step 3: Cross multiply
    200,079.28x = 305,200.41 × 305,200.41
  4. Step 4: Simplify right side
    200,079.28x = 93,147,287,975.17
  5. Step 5: Solve for x
    x = 93,147,287,975.17/200,079.28
  6. Step 6: Final answer
    x = 465,551.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.