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Finding the Third Proportional to 169,076 and 393,156

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Solution

The third proportional to 169,076 and 393,156 is: 914,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,076 : 393,156 = 393,156 : x
  2. Step 2: Convert to fraction form
    169,076/393,156 = 393,156/x
  3. Step 3: Cross multiply
    169,076x = 393,156 × 393,156
  4. Step 4: Simplify right side
    169,076x = 154,571,640,336
  5. Step 5: Solve for x
    x = 154,571,640,336/169,076
  6. Step 6: Final answer
    x = 914,213.96

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.