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Finding the Third Proportional to 173,350 and 258,891

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Solution

The third proportional to 173,350 and 258,891 is: 386,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,350 : 258,891 = 258,891 : x
  2. Step 2: Convert to fraction form
    173,350/258,891 = 258,891/x
  3. Step 3: Cross multiply
    173,350x = 258,891 × 258,891
  4. Step 4: Simplify right side
    173,350x = 67,024,549,881
  5. Step 5: Solve for x
    x = 67,024,549,881/173,350
  6. Step 6: Final answer
    x = 386,642.92

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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.