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Finding the Third Proportional to 234,072 and 352,754

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Solution

The third proportional to 234,072 and 352,754 is: 531,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,072 : 352,754 = 352,754 : x
  2. Step 2: Convert to fraction form
    234,072/352,754 = 352,754/x
  3. Step 3: Cross multiply
    234,072x = 352,754 × 352,754
  4. Step 4: Simplify right side
    234,072x = 124,435,384,516
  5. Step 5: Solve for x
    x = 124,435,384,516/234,072
  6. Step 6: Final answer
    x = 531,611.57

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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.