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Finding the Third Proportional to 169,096 and 399,892

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Solution

The third proportional to 169,096 and 399,892 is: 945,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,096 : 399,892 = 399,892 : x
  2. Step 2: Convert to fraction form
    169,096/399,892 = 399,892/x
  3. Step 3: Cross multiply
    169,096x = 399,892 × 399,892
  4. Step 4: Simplify right side
    169,096x = 159,913,611,664
  5. Step 5: Solve for x
    x = 159,913,611,664/169,096
  6. Step 6: Final answer
    x = 945,697.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.