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Finding the Third Proportional to 183,877 and 285,893

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Solution

The third proportional to 183,877 and 285,893 is: 444,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,877 : 285,893 = 285,893 : x
  2. Step 2: Convert to fraction form
    183,877/285,893 = 285,893/x
  3. Step 3: Cross multiply
    183,877x = 285,893 × 285,893
  4. Step 4: Simplify right side
    183,877x = 81,734,807,449
  5. Step 5: Solve for x
    x = 81,734,807,449/183,877
  6. Step 6: Final answer
    x = 444,508.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.