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Finding the Third Proportional to 183,395 and 401,782

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Solution

The third proportional to 183,395 and 401,782 is: 880,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,395 : 401,782 = 401,782 : x
  2. Step 2: Convert to fraction form
    183,395/401,782 = 401,782/x
  3. Step 3: Cross multiply
    183,395x = 401,782 × 401,782
  4. Step 4: Simplify right side
    183,395x = 161,428,775,524
  5. Step 5: Solve for x
    x = 161,428,775,524/183,395
  6. Step 6: Final answer
    x = 880,224.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.