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Finding the Third Proportional to 325,151 and 500,165

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Solution

The third proportional to 325,151 and 500,165 is: 769,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,151 : 500,165 = 500,165 : x
  2. Step 2: Convert to fraction form
    325,151/500,165 = 500,165/x
  3. Step 3: Cross multiply
    325,151x = 500,165 × 500,165
  4. Step 4: Simplify right side
    325,151x = 250,165,027,225
  5. Step 5: Solve for x
    x = 250,165,027,225/325,151
  6. Step 6: Final answer
    x = 769,381.08

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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.