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Finding the Third Proportional to 172,080 and 258,192

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Solution

The third proportional to 172,080 and 258,192 is: 387,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,080 : 258,192 = 258,192 : x
  2. Step 2: Convert to fraction form
    172,080/258,192 = 258,192/x
  3. Step 3: Cross multiply
    172,080x = 258,192 × 258,192
  4. Step 4: Simplify right side
    172,080x = 66,663,108,864
  5. Step 5: Solve for x
    x = 66,663,108,864/172,080
  6. Step 6: Final answer
    x = 387,396.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.