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Finding the Third Proportional to 178,828 and 372,352

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Solution

The third proportional to 178,828 and 372,352 is: 775,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,828 : 372,352 = 372,352 : x
  2. Step 2: Convert to fraction form
    178,828/372,352 = 372,352/x
  3. Step 3: Cross multiply
    178,828x = 372,352 × 372,352
  4. Step 4: Simplify right side
    178,828x = 138,646,011,904
  5. Step 5: Solve for x
    x = 138,646,011,904/178,828
  6. Step 6: Final answer
    x = 775,303.71

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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.