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Finding the Third Proportional to 166,329 and 356,472

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Solution

The third proportional to 166,329 and 356,472 is: 763,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,329 : 356,472 = 356,472 : x
  2. Step 2: Convert to fraction form
    166,329/356,472 = 356,472/x
  3. Step 3: Cross multiply
    166,329x = 356,472 × 356,472
  4. Step 4: Simplify right side
    166,329x = 127,072,286,784
  5. Step 5: Solve for x
    x = 127,072,286,784/166,329
  6. Step 6: Final answer
    x = 763,981.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.