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Finding the Third Proportional to 106,328 and 230,152

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Solution

The third proportional to 106,328 and 230,152 is: 498,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,328 : 230,152 = 230,152 : x
  2. Step 2: Convert to fraction form
    106,328/230,152 = 230,152/x
  3. Step 3: Cross multiply
    106,328x = 230,152 × 230,152
  4. Step 4: Simplify right side
    106,328x = 52,969,943,104
  5. Step 5: Solve for x
    x = 52,969,943,104/106,328
  6. Step 6: Final answer
    x = 498,174.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.