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Finding the Third Proportional to 104,202 and 224,604

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Solution

The third proportional to 104,202 and 224,604 is: 484,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,202 : 224,604 = 224,604 : x
  2. Step 2: Convert to fraction form
    104,202/224,604 = 224,604/x
  3. Step 3: Cross multiply
    104,202x = 224,604 × 224,604
  4. Step 4: Simplify right side
    104,202x = 50,446,956,816
  5. Step 5: Solve for x
    x = 50,446,956,816/104,202
  6. Step 6: Final answer
    x = 484,126.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.