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Finding the Third Proportional to 94,525 and 204,565

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Solution

The third proportional to 94,525 and 204,565 is: 442,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,525 : 204,565 = 204,565 : x
  2. Step 2: Convert to fraction form
    94,525/204,565 = 204,565/x
  3. Step 3: Cross multiply
    94,525x = 204,565 × 204,565
  4. Step 4: Simplify right side
    94,525x = 41,846,839,225
  5. Step 5: Solve for x
    x = 41,846,839,225/94,525
  6. Step 6: Final answer
    x = 442,706.58

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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.