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Finding the Third Proportional to 173,085.19 and 261,937.13

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Solution

The third proportional to 173,085.19 and 261,937.13 is: 396,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,085.19 : 261,937.13 = 261,937.13 : x
  2. Step 2: Convert to fraction form
    173,085.19/261,937.13 = 261,937.13/x
  3. Step 3: Cross multiply
    173,085.19x = 261,937.13 × 261,937.13
  4. Step 4: Simplify right side
    173,085.19x = 68,611,057,453.27
  5. Step 5: Solve for x
    x = 68,611,057,453.27/173,085.19
  6. Step 6: Final answer
    x = 396,400.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.