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Finding the Third Proportional to 166,892 and 347,588

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Solution

The third proportional to 166,892 and 347,588 is: 723,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,892 : 347,588 = 347,588 : x
  2. Step 2: Convert to fraction form
    166,892/347,588 = 347,588/x
  3. Step 3: Cross multiply
    166,892x = 347,588 × 347,588
  4. Step 4: Simplify right side
    166,892x = 120,817,417,744
  5. Step 5: Solve for x
    x = 120,817,417,744/166,892
  6. Step 6: Final answer
    x = 723,925.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.