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Finding the Third Proportional to 104,222 and 224,521

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Solution

The third proportional to 104,222 and 224,521 is: 483,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,222 : 224,521 = 224,521 : x
  2. Step 2: Convert to fraction form
    104,222/224,521 = 224,521/x
  3. Step 3: Cross multiply
    104,222x = 224,521 × 224,521
  4. Step 4: Simplify right side
    104,222x = 50,409,679,441
  5. Step 5: Solve for x
    x = 50,409,679,441/104,222
  6. Step 6: Final answer
    x = 483,675.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.