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Finding the Third Proportional to 182,583 and 395,988

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Solution

The third proportional to 182,583 and 395,988 is: 858,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,583 : 395,988 = 395,988 : x
  2. Step 2: Convert to fraction form
    182,583/395,988 = 395,988/x
  3. Step 3: Cross multiply
    182,583x = 395,988 × 395,988
  4. Step 4: Simplify right side
    182,583x = 156,806,496,144
  5. Step 5: Solve for x
    x = 156,806,496,144/182,583
  6. Step 6: Final answer
    x = 858,823.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.