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Finding the Third Proportional to 206,617.50 and 295,778.25

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Solution

The third proportional to 206,617.50 and 295,778.25 is: 423,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,617.50 : 295,778.25 = 295,778.25 : x
  2. Step 2: Convert to fraction form
    206,617.50/295,778.25 = 295,778.25/x
  3. Step 3: Cross multiply
    206,617.50x = 295,778.25 × 295,778.25
  4. Step 4: Simplify right side
    206,617.50x = 87,484,773,173.06
  5. Step 5: Solve for x
    x = 87,484,773,173.06/206,617.50
  6. Step 6: Final answer
    x = 423,414.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.