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Finding the Third Proportional to 178,826 and 372,338

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Solution

The third proportional to 178,826 and 372,338 is: 775,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,826 : 372,338 = 372,338 : x
  2. Step 2: Convert to fraction form
    178,826/372,338 = 372,338/x
  3. Step 3: Cross multiply
    178,826x = 372,338 × 372,338
  4. Step 4: Simplify right side
    178,826x = 138,635,586,244
  5. Step 5: Solve for x
    x = 138,635,586,244/178,826
  6. Step 6: Final answer
    x = 775,254.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.