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Finding the Third Proportional to 94,421 and 204,331

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Solution

The third proportional to 94,421 and 204,331 is: 442,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,421 : 204,331 = 204,331 : x
  2. Step 2: Convert to fraction form
    94,421/204,331 = 204,331/x
  3. Step 3: Cross multiply
    94,421x = 204,331 × 204,331
  4. Step 4: Simplify right side
    94,421x = 41,751,157,561
  5. Step 5: Solve for x
    x = 41,751,157,561/94,421
  6. Step 6: Final answer
    x = 442,180.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.