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Finding the Third Proportional to 180,983.25 and 237,994.88

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Solution

The third proportional to 180,983.25 and 237,994.88 is: 312,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,983.25 : 237,994.88 = 237,994.88 : x
  2. Step 2: Convert to fraction form
    180,983.25/237,994.88 = 237,994.88/x
  3. Step 3: Cross multiply
    180,983.25x = 237,994.88 × 237,994.88
  4. Step 4: Simplify right side
    180,983.25x = 56,641,560,526.27
  5. Step 5: Solve for x
    x = 56,641,560,526.27/180,983.25
  6. Step 6: Final answer
    x = 312,965.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.