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Finding the Third Proportional to 187,157.25 and 287,964.75

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Solution

The third proportional to 187,157.25 and 287,964.75 is: 443,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,157.25 : 287,964.75 = 287,964.75 : x
  2. Step 2: Convert to fraction form
    187,157.25/287,964.75 = 287,964.75/x
  3. Step 3: Cross multiply
    187,157.25x = 287,964.75 × 287,964.75
  4. Step 4: Simplify right side
    187,157.25x = 82,923,697,242.56
  5. Step 5: Solve for x
    x = 82,923,697,242.56/187,157.25
  6. Step 6: Final answer
    x = 443,069.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.