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Finding the Third Proportional to 94,444 and 206,060

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Solution

The third proportional to 94,444 and 206,060 is: 449,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,444 : 206,060 = 206,060 : x
  2. Step 2: Convert to fraction form
    94,444/206,060 = 206,060/x
  3. Step 3: Cross multiply
    94,444x = 206,060 × 206,060
  4. Step 4: Simplify right side
    94,444x = 42,460,723,600
  5. Step 5: Solve for x
    x = 42,460,723,600/94,444
  6. Step 6: Final answer
    x = 449,586.25

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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.