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Finding the Third Proportional to 178,974 and 392,393

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Solution

The third proportional to 178,974 and 392,393 is: 860,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,974 : 392,393 = 392,393 : x
  2. Step 2: Convert to fraction form
    178,974/392,393 = 392,393/x
  3. Step 3: Cross multiply
    178,974x = 392,393 × 392,393
  4. Step 4: Simplify right side
    178,974x = 153,972,266,449
  5. Step 5: Solve for x
    x = 153,972,266,449/178,974
  6. Step 6: Final answer
    x = 860,305.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.