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Finding the Third Proportional to 94,284 and 206,710

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Solution

The third proportional to 94,284 and 206,710 is: 453,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,284 : 206,710 = 206,710 : x
  2. Step 2: Convert to fraction form
    94,284/206,710 = 206,710/x
  3. Step 3: Cross multiply
    94,284x = 206,710 × 206,710
  4. Step 4: Simplify right side
    94,284x = 42,729,024,100
  5. Step 5: Solve for x
    x = 42,729,024,100/94,284
  6. Step 6: Final answer
    x = 453,194.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.