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Finding the Third Proportional to 104,894 and 224,620

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Solution

The third proportional to 104,894 and 224,620 is: 481,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,894 : 224,620 = 224,620 : x
  2. Step 2: Convert to fraction form
    104,894/224,620 = 224,620/x
  3. Step 3: Cross multiply
    104,894x = 224,620 × 224,620
  4. Step 4: Simplify right side
    104,894x = 50,454,144,400
  5. Step 5: Solve for x
    x = 50,454,144,400/104,894
  6. Step 6: Final answer
    x = 481,001.24

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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.