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Finding the Third Proportional to 251,891.25 and 377,681.25

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Solution

The third proportional to 251,891.25 and 377,681.25 is: 566,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,891.25 : 377,681.25 = 377,681.25 : x
  2. Step 2: Convert to fraction form
    251,891.25/377,681.25 = 377,681.25/x
  3. Step 3: Cross multiply
    251,891.25x = 377,681.25 × 377,681.25
  4. Step 4: Simplify right side
    251,891.25x = 142,643,126,601.56
  5. Step 5: Solve for x
    x = 142,643,126,601.56/251,891.25
  6. Step 6: Final answer
    x = 566,288.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.