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Finding the Third Proportional to 248,868 and 385,983

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Solution

The third proportional to 248,868 and 385,983 is: 598,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,868 : 385,983 = 385,983 : x
  2. Step 2: Convert to fraction form
    248,868/385,983 = 385,983/x
  3. Step 3: Cross multiply
    248,868x = 385,983 × 385,983
  4. Step 4: Simplify right side
    248,868x = 148,982,876,289
  5. Step 5: Solve for x
    x = 148,982,876,289/248,868
  6. Step 6: Final answer
    x = 598,642.16

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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.