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Finding the Third Proportional to 188,029.13 and 282,942

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Solution

The third proportional to 188,029.13 and 282,942 is: 425,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,029.13 : 282,942 = 282,942 : x
  2. Step 2: Convert to fraction form
    188,029.13/282,942 = 282,942/x
  3. Step 3: Cross multiply
    188,029.13x = 282,942 × 282,942
  4. Step 4: Simplify right side
    188,029.13x = 80,056,175,364
  5. Step 5: Solve for x
    x = 80,056,175,364/188,029.13
  6. Step 6: Final answer
    x = 425,764.76

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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.