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Finding the Third Proportional to 101,492 and 220,273

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Solution

The third proportional to 101,492 and 220,273 is: 478,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,492 : 220,273 = 220,273 : x
  2. Step 2: Convert to fraction form
    101,492/220,273 = 220,273/x
  3. Step 3: Cross multiply
    101,492x = 220,273 × 220,273
  4. Step 4: Simplify right side
    101,492x = 48,520,194,529
  5. Step 5: Solve for x
    x = 48,520,194,529/101,492
  6. Step 6: Final answer
    x = 478,069.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.