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Finding the Third Proportional to 187,980 and 287,922

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Solution

The third proportional to 187,980 and 287,922 is: 440,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,980 : 287,922 = 287,922 : x
  2. Step 2: Convert to fraction form
    187,980/287,922 = 287,922/x
  3. Step 3: Cross multiply
    187,980x = 287,922 × 287,922
  4. Step 4: Simplify right side
    187,980x = 82,899,078,084
  5. Step 5: Solve for x
    x = 82,899,078,084/187,980
  6. Step 6: Final answer
    x = 440,999.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.