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Finding the Third Proportional to 178,797 and 372,291

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Solution

The third proportional to 178,797 and 372,291 is: 775,184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,797 : 372,291 = 372,291 : x
  2. Step 2: Convert to fraction form
    178,797/372,291 = 372,291/x
  3. Step 3: Cross multiply
    178,797x = 372,291 × 372,291
  4. Step 4: Simplify right side
    178,797x = 138,600,588,681
  5. Step 5: Solve for x
    x = 138,600,588,681/178,797
  6. Step 6: Final answer
    x = 775,184.08

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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.