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Finding the Third Proportional to 202,300.88 and 442,698.75

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Solution

The third proportional to 202,300.88 and 442,698.75 is: 968,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,300.88 : 442,698.75 = 442,698.75 : x
  2. Step 2: Convert to fraction form
    202,300.88/442,698.75 = 442,698.75/x
  3. Step 3: Cross multiply
    202,300.88x = 442,698.75 × 442,698.75
  4. Step 4: Simplify right side
    202,300.88x = 195,982,183,251.56
  5. Step 5: Solve for x
    x = 195,982,183,251.56/202,300.88
  6. Step 6: Final answer
    x = 968,765.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.