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Finding the Third Proportional to 115,466 and 173,199

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Solution

The third proportional to 115,466 and 173,199 is: 259,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,466 : 173,199 = 173,199 : x
  2. Step 2: Convert to fraction form
    115,466/173,199 = 173,199/x
  3. Step 3: Cross multiply
    115,466x = 173,199 × 173,199
  4. Step 4: Simplify right side
    115,466x = 29,997,893,601
  5. Step 5: Solve for x
    x = 29,997,893,601/115,466
  6. Step 6: Final answer
    x = 259,798.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.