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Finding the Third Proportional to 101,314 and 220,466

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Solution

The third proportional to 101,314 and 220,466 is: 479,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,314 : 220,466 = 220,466 : x
  2. Step 2: Convert to fraction form
    101,314/220,466 = 220,466/x
  3. Step 3: Cross multiply
    101,314x = 220,466 × 220,466
  4. Step 4: Simplify right side
    101,314x = 48,605,257,156
  5. Step 5: Solve for x
    x = 48,605,257,156/101,314
  6. Step 6: Final answer
    x = 479,748.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.