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Finding the Third Proportional to 182,111.25 and 371,451.75

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Solution

The third proportional to 182,111.25 and 371,451.75 is: 757,648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,111.25 : 371,451.75 = 371,451.75 : x
  2. Step 2: Convert to fraction form
    182,111.25/371,451.75 = 371,451.75/x
  3. Step 3: Cross multiply
    182,111.25x = 371,451.75 × 371,451.75
  4. Step 4: Simplify right side
    182,111.25x = 137,976,402,578.06
  5. Step 5: Solve for x
    x = 137,976,402,578.06/182,111.25
  6. Step 6: Final answer
    x = 757,648.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.