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Finding the Third Proportional to 178,833 and 372,354

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Solution

The third proportional to 178,833 and 372,354 is: 775,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,833 : 372,354 = 372,354 : x
  2. Step 2: Convert to fraction form
    178,833/372,354 = 372,354/x
  3. Step 3: Cross multiply
    178,833x = 372,354 × 372,354
  4. Step 4: Simplify right side
    178,833x = 138,647,501,316
  5. Step 5: Solve for x
    x = 138,647,501,316/178,833
  6. Step 6: Final answer
    x = 775,290.36

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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.