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Finding the Third Proportional to 161,448.75 and 352,408.50

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Solution

The third proportional to 161,448.75 and 352,408.50 is: 769,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,448.75 : 352,408.50 = 352,408.50 : x
  2. Step 2: Convert to fraction form
    161,448.75/352,408.50 = 352,408.50/x
  3. Step 3: Cross multiply
    161,448.75x = 352,408.50 × 352,408.50
  4. Step 4: Simplify right side
    161,448.75x = 124,191,750,872.25
  5. Step 5: Solve for x
    x = 124,191,750,872.25/161,448.75
  6. Step 6: Final answer
    x = 769,233.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.