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Finding the Third Proportional to 94,890 and 206,484

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Solution

The third proportional to 94,890 and 206,484 is: 449,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,890 : 206,484 = 206,484 : x
  2. Step 2: Convert to fraction form
    94,890/206,484 = 206,484/x
  3. Step 3: Cross multiply
    94,890x = 206,484 × 206,484
  4. Step 4: Simplify right side
    94,890x = 42,635,642,256
  5. Step 5: Solve for x
    x = 42,635,642,256/94,890
  6. Step 6: Final answer
    x = 449,316.50

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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.