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Finding the Third Proportional to 94,878 and 204,417

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Solution

The third proportional to 94,878 and 204,417 is: 440,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,878 : 204,417 = 204,417 : x
  2. Step 2: Convert to fraction form
    94,878/204,417 = 204,417/x
  3. Step 3: Cross multiply
    94,878x = 204,417 × 204,417
  4. Step 4: Simplify right side
    94,878x = 41,786,309,889
  5. Step 5: Solve for x
    x = 41,786,309,889/94,878
  6. Step 6: Final answer
    x = 440,421.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.