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Finding the Third Proportional to 94,758 and 206,220

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Solution

The third proportional to 94,758 and 206,220 is: 448,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,758 : 206,220 = 206,220 : x
  2. Step 2: Convert to fraction form
    94,758/206,220 = 206,220/x
  3. Step 3: Cross multiply
    94,758x = 206,220 × 206,220
  4. Step 4: Simplify right side
    94,758x = 42,526,688,400
  5. Step 5: Solve for x
    x = 42,526,688,400/94,758
  6. Step 6: Final answer
    x = 448,792.59

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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.