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Finding the Third Proportional to 119,799 and 284,877

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Solution

The third proportional to 119,799 and 284,877 is: 677,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,799 : 284,877 = 284,877 : x
  2. Step 2: Convert to fraction form
    119,799/284,877 = 284,877/x
  3. Step 3: Cross multiply
    119,799x = 284,877 × 284,877
  4. Step 4: Simplify right side
    119,799x = 81,154,905,129
  5. Step 5: Solve for x
    x = 81,154,905,129/119,799
  6. Step 6: Final answer
    x = 677,425.56

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.