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Finding the Third Proportional to 164,902 and 356,156

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Solution

The third proportional to 164,902 and 356,156 is: 769,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,902 : 356,156 = 356,156 : x
  2. Step 2: Convert to fraction form
    164,902/356,156 = 356,156/x
  3. Step 3: Cross multiply
    164,902x = 356,156 × 356,156
  4. Step 4: Simplify right side
    164,902x = 126,847,096,336
  5. Step 5: Solve for x
    x = 126,847,096,336/164,902
  6. Step 6: Final answer
    x = 769,227.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.