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Finding the Third Proportional to 185,781.75 and 284,669.25

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Solution

The third proportional to 185,781.75 and 284,669.25 is: 436,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,781.75 : 284,669.25 = 284,669.25 : x
  2. Step 2: Convert to fraction form
    185,781.75/284,669.25 = 284,669.25/x
  3. Step 3: Cross multiply
    185,781.75x = 284,669.25 × 284,669.25
  4. Step 4: Simplify right side
    185,781.75x = 81,036,581,895.56
  5. Step 5: Solve for x
    x = 81,036,581,895.56/185,781.75
  6. Step 6: Final answer
    x = 436,192.37

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Why These Related Problems?

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