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Finding the Third Proportional to 187,110 and 399,978

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Solution

The third proportional to 187,110 and 399,978 is: 855,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,110 : 399,978 = 399,978 : x
  2. Step 2: Convert to fraction form
    187,110/399,978 = 399,978/x
  3. Step 3: Cross multiply
    187,110x = 399,978 × 399,978
  4. Step 4: Simplify right side
    187,110x = 159,982,400,484
  5. Step 5: Solve for x
    x = 159,982,400,484/187,110
  6. Step 6: Final answer
    x = 855,017.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.