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Finding the Third Proportional to 169,704 and 356,472

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Solution

The third proportional to 169,704 and 356,472 is: 748,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,704 : 356,472 = 356,472 : x
  2. Step 2: Convert to fraction form
    169,704/356,472 = 356,472/x
  3. Step 3: Cross multiply
    169,704x = 356,472 × 356,472
  4. Step 4: Simplify right side
    169,704x = 127,072,286,784
  5. Step 5: Solve for x
    x = 127,072,286,784/169,704
  6. Step 6: Final answer
    x = 748,787.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.