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Finding the Third Proportional to 144,084 and 231,503

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Solution

The third proportional to 144,084 and 231,503 is: 371,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,084 : 231,503 = 231,503 : x
  2. Step 2: Convert to fraction form
    144,084/231,503 = 231,503/x
  3. Step 3: Cross multiply
    144,084x = 231,503 × 231,503
  4. Step 4: Simplify right side
    144,084x = 53,593,639,009
  5. Step 5: Solve for x
    x = 53,593,639,009/144,084
  6. Step 6: Final answer
    x = 371,961.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.