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Finding the Third Proportional to 171,762 and 348,376

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Solution

The third proportional to 171,762 and 348,376 is: 706,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,762 : 348,376 = 348,376 : x
  2. Step 2: Convert to fraction form
    171,762/348,376 = 348,376/x
  3. Step 3: Cross multiply
    171,762x = 348,376 × 348,376
  4. Step 4: Simplify right side
    171,762x = 121,365,837,376
  5. Step 5: Solve for x
    x = 121,365,837,376/171,762
  6. Step 6: Final answer
    x = 706,593.06

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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.