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Finding the Third Proportional to 176,015 and 379,395

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Solution

The third proportional to 176,015 and 379,395 is: 817,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,015 : 379,395 = 379,395 : x
  2. Step 2: Convert to fraction form
    176,015/379,395 = 379,395/x
  3. Step 3: Cross multiply
    176,015x = 379,395 × 379,395
  4. Step 4: Simplify right side
    176,015x = 143,940,566,025
  5. Step 5: Solve for x
    x = 143,940,566,025/176,015
  6. Step 6: Final answer
    x = 817,774.43

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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.