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Finding the Third Proportional to 188,387 and 283,002

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Solution

The third proportional to 188,387 and 283,002 is: 425,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,387 : 283,002 = 283,002 : x
  2. Step 2: Convert to fraction form
    188,387/283,002 = 283,002/x
  3. Step 3: Cross multiply
    188,387x = 283,002 × 283,002
  4. Step 4: Simplify right side
    188,387x = 80,090,132,004
  5. Step 5: Solve for x
    x = 80,090,132,004/188,387
  6. Step 6: Final answer
    x = 425,136.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.