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Finding the Third Proportional to 94,417 and 204,323

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Solution

The third proportional to 94,417 and 204,323 is: 442,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,417 : 204,323 = 204,323 : x
  2. Step 2: Convert to fraction form
    94,417/204,323 = 204,323/x
  3. Step 3: Cross multiply
    94,417x = 204,323 × 204,323
  4. Step 4: Simplify right side
    94,417x = 41,747,888,329
  5. Step 5: Solve for x
    x = 41,747,888,329/94,417
  6. Step 6: Final answer
    x = 442,164.95

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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.