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Finding the Third Proportional to 94,644 and 208,980

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Solution

The third proportional to 94,644 and 208,980 is: 461,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,644 : 208,980 = 208,980 : x
  2. Step 2: Convert to fraction form
    94,644/208,980 = 208,980/x
  3. Step 3: Cross multiply
    94,644x = 208,980 × 208,980
  4. Step 4: Simplify right side
    94,644x = 43,672,640,400
  5. Step 5: Solve for x
    x = 43,672,640,400/94,644
  6. Step 6: Final answer
    x = 461,441.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.