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Finding the Third Proportional to 250,967.25 and 377,007.75

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Solution

The third proportional to 250,967.25 and 377,007.75 is: 566,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,967.25 : 377,007.75 = 377,007.75 : x
  2. Step 2: Convert to fraction form
    250,967.25/377,007.75 = 377,007.75/x
  3. Step 3: Cross multiply
    250,967.25x = 377,007.75 × 377,007.75
  4. Step 4: Simplify right side
    250,967.25x = 142,134,843,560.06
  5. Step 5: Solve for x
    x = 142,134,843,560.06/250,967.25
  6. Step 6: Final answer
    x = 566,348.17

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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.