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Finding the Third Proportional to 104,363 and 227,356

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Solution

The third proportional to 104,363 and 227,356 is: 495,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,363 : 227,356 = 227,356 : x
  2. Step 2: Convert to fraction form
    104,363/227,356 = 227,356/x
  3. Step 3: Cross multiply
    104,363x = 227,356 × 227,356
  4. Step 4: Simplify right side
    104,363x = 51,690,750,736
  5. Step 5: Solve for x
    x = 51,690,750,736/104,363
  6. Step 6: Final answer
    x = 495,297.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.