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Finding the Third Proportional to 234,048 and 352,719

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Solution

The third proportional to 234,048 and 352,719 is: 531,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,048 : 352,719 = 352,719 : x
  2. Step 2: Convert to fraction form
    234,048/352,719 = 352,719/x
  3. Step 3: Cross multiply
    234,048x = 352,719 × 352,719
  4. Step 4: Simplify right side
    234,048x = 124,410,692,961
  5. Step 5: Solve for x
    x = 124,410,692,961/234,048
  6. Step 6: Final answer
    x = 531,560.59

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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.