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Finding the Third Proportional to 147,464 and 222,404

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Solution

The third proportional to 147,464 and 222,404 is: 335,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,464 : 222,404 = 222,404 : x
  2. Step 2: Convert to fraction form
    147,464/222,404 = 222,404/x
  3. Step 3: Cross multiply
    147,464x = 222,404 × 222,404
  4. Step 4: Simplify right side
    147,464x = 49,463,539,216
  5. Step 5: Solve for x
    x = 49,463,539,216/147,464
  6. Step 6: Final answer
    x = 335,427.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.