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Finding the Third Proportional to 171,760 and 348,372

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Solution

The third proportional to 171,760 and 348,372 is: 706,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,760 : 348,372 = 348,372 : x
  2. Step 2: Convert to fraction form
    171,760/348,372 = 348,372/x
  3. Step 3: Cross multiply
    171,760x = 348,372 × 348,372
  4. Step 4: Simplify right side
    171,760x = 121,363,050,384
  5. Step 5: Solve for x
    x = 121,363,050,384/171,760
  6. Step 6: Final answer
    x = 706,585.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.