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Finding the Third Proportional to 188,424 and 283,040

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Solution

The third proportional to 188,424 and 283,040 is: 425,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,424 : 283,040 = 283,040 : x
  2. Step 2: Convert to fraction form
    188,424/283,040 = 283,040/x
  3. Step 3: Cross multiply
    188,424x = 283,040 × 283,040
  4. Step 4: Simplify right side
    188,424x = 80,111,641,600
  5. Step 5: Solve for x
    x = 80,111,641,600/188,424
  6. Step 6: Final answer
    x = 425,166.87

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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.