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Finding the Third Proportional to 173,313 and 372,408

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Solution

The third proportional to 173,313 and 372,408 is: 800,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,313 : 372,408 = 372,408 : x
  2. Step 2: Convert to fraction form
    173,313/372,408 = 372,408/x
  3. Step 3: Cross multiply
    173,313x = 372,408 × 372,408
  4. Step 4: Simplify right side
    173,313x = 138,687,718,464
  5. Step 5: Solve for x
    x = 138,687,718,464/173,313
  6. Step 6: Final answer
    x = 800,215.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.