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Finding the Third Proportional to 166,864 and 347,534

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Solution

The third proportional to 166,864 and 347,534 is: 723,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,864 : 347,534 = 347,534 : x
  2. Step 2: Convert to fraction form
    166,864/347,534 = 347,534/x
  3. Step 3: Cross multiply
    166,864x = 347,534 × 347,534
  4. Step 4: Simplify right side
    166,864x = 120,779,881,156
  5. Step 5: Solve for x
    x = 120,779,881,156/166,864
  6. Step 6: Final answer
    x = 723,822.28

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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.