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Finding the Third Proportional to 173,480 and 268,098

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Solution

The third proportional to 173,480 and 268,098 is: 414,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,480 : 268,098 = 268,098 : x
  2. Step 2: Convert to fraction form
    173,480/268,098 = 268,098/x
  3. Step 3: Cross multiply
    173,480x = 268,098 × 268,098
  4. Step 4: Simplify right side
    173,480x = 71,876,537,604
  5. Step 5: Solve for x
    x = 71,876,537,604/173,480
  6. Step 6: Final answer
    x = 414,321.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.