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Finding the Third Proportional to 271,608 and 357,192

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Solution

The third proportional to 271,608 and 357,192 is: 469,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,608 : 357,192 = 357,192 : x
  2. Step 2: Convert to fraction form
    271,608/357,192 = 357,192/x
  3. Step 3: Cross multiply
    271,608x = 357,192 × 357,192
  4. Step 4: Simplify right side
    271,608x = 127,586,124,864
  5. Step 5: Solve for x
    x = 127,586,124,864/271,608
  6. Step 6: Final answer
    x = 469,743.62

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.