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Finding the Third Proportional to 234,017 and 352,679

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Solution

The third proportional to 234,017 and 352,679 is: 531,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,017 : 352,679 = 352,679 : x
  2. Step 2: Convert to fraction form
    234,017/352,679 = 352,679/x
  3. Step 3: Cross multiply
    234,017x = 352,679 × 352,679
  4. Step 4: Simplify right side
    234,017x = 124,382,477,041
  5. Step 5: Solve for x
    x = 124,382,477,041/234,017
  6. Step 6: Final answer
    x = 531,510.43

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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.