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Finding the Third Proportional to 165,872 and 250,005

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Solution

The third proportional to 165,872 and 250,005 is: 376,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,872 : 250,005 = 250,005 : x
  2. Step 2: Convert to fraction form
    165,872/250,005 = 250,005/x
  3. Step 3: Cross multiply
    165,872x = 250,005 × 250,005
  4. Step 4: Simplify right side
    165,872x = 62,502,500,025
  5. Step 5: Solve for x
    x = 62,502,500,025/165,872
  6. Step 6: Final answer
    x = 376,811.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.