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Finding the Third Proportional to 104,792 and 224,380

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Solution

The third proportional to 104,792 and 224,380 is: 480,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,792 : 224,380 = 224,380 : x
  2. Step 2: Convert to fraction form
    104,792/224,380 = 224,380/x
  3. Step 3: Cross multiply
    104,792x = 224,380 × 224,380
  4. Step 4: Simplify right side
    104,792x = 50,346,384,400
  5. Step 5: Solve for x
    x = 50,346,384,400/104,792
  6. Step 6: Final answer
    x = 480,441.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.