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Finding the Third Proportional to 173,344 and 258,882

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Solution

The third proportional to 173,344 and 258,882 is: 386,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,344 : 258,882 = 258,882 : x
  2. Step 2: Convert to fraction form
    173,344/258,882 = 258,882/x
  3. Step 3: Cross multiply
    173,344x = 258,882 × 258,882
  4. Step 4: Simplify right side
    173,344x = 67,019,889,924
  5. Step 5: Solve for x
    x = 67,019,889,924/173,344
  6. Step 6: Final answer
    x = 386,629.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.