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Finding the Third Proportional to 222,291 and 329,577.19

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Solution

The third proportional to 222,291 and 329,577.19 is: 488,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,291 : 329,577.19 = 329,577.19 : x
  2. Step 2: Convert to fraction form
    222,291/329,577.19 = 329,577.19/x
  3. Step 3: Cross multiply
    222,291x = 329,577.19 × 329,577.19
  4. Step 4: Simplify right side
    222,291x = 108,621,122,520.41
  5. Step 5: Solve for x
    x = 108,621,122,520.41/222,291
  6. Step 6: Final answer
    x = 488,643.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.