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Finding the Third Proportional to 188,480 and 283,125

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Solution

The third proportional to 188,480 and 283,125 is: 425,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,480 : 283,125 = 283,125 : x
  2. Step 2: Convert to fraction form
    188,480/283,125 = 283,125/x
  3. Step 3: Cross multiply
    188,480x = 283,125 × 283,125
  4. Step 4: Simplify right side
    188,480x = 80,159,765,625
  5. Step 5: Solve for x
    x = 80,159,765,625/188,480
  6. Step 6: Final answer
    x = 425,295.87

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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.