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Finding the Third Proportional to 103,144 and 229,328

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Solution

The third proportional to 103,144 and 229,328 is: 509,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,144 : 229,328 = 229,328 : x
  2. Step 2: Convert to fraction form
    103,144/229,328 = 229,328/x
  3. Step 3: Cross multiply
    103,144x = 229,328 × 229,328
  4. Step 4: Simplify right side
    103,144x = 52,591,331,584
  5. Step 5: Solve for x
    x = 52,591,331,584/103,144
  6. Step 6: Final answer
    x = 509,882.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.