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Finding the Third Proportional to 251,005.92 and 382,391.72

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Solution

The third proportional to 251,005.92 and 382,391.72 is: 582,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,005.92 : 382,391.72 = 382,391.72 : x
  2. Step 2: Convert to fraction form
    251,005.92/382,391.72 = 382,391.72/x
  3. Step 3: Cross multiply
    251,005.92x = 382,391.72 × 382,391.72
  4. Step 4: Simplify right side
    251,005.92x = 146,223,426,568.58
  5. Step 5: Solve for x
    x = 146,223,426,568.58/251,005.92
  6. Step 6: Final answer
    x = 582,549.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.