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Finding the Third Proportional to 172,652 and 258,216

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Solution

The third proportional to 172,652 and 258,216 is: 386,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,652 : 258,216 = 258,216 : x
  2. Step 2: Convert to fraction form
    172,652/258,216 = 258,216/x
  3. Step 3: Cross multiply
    172,652x = 258,216 × 258,216
  4. Step 4: Simplify right side
    172,652x = 66,675,502,656
  5. Step 5: Solve for x
    x = 66,675,502,656/172,652
  6. Step 6: Final answer
    x = 386,184.36

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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.