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Finding the Third Proportional to 221,408.25 and 352,475.44

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Solution

The third proportional to 221,408.25 and 352,475.44 is: 561,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,408.25 : 352,475.44 = 352,475.44 : x
  2. Step 2: Convert to fraction form
    221,408.25/352,475.44 = 352,475.44/x
  3. Step 3: Cross multiply
    221,408.25x = 352,475.44 × 352,475.44
  4. Step 4: Simplify right side
    221,408.25x = 124,238,934,040.82
  5. Step 5: Solve for x
    x = 124,238,934,040.82/221,408.25
  6. Step 6: Final answer
    x = 561,130.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.