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Finding the Third Proportional to 94,440 and 204,420

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Solution

The third proportional to 94,440 and 204,420 is: 442,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,440 : 204,420 = 204,420 : x
  2. Step 2: Convert to fraction form
    94,440/204,420 = 204,420/x
  3. Step 3: Cross multiply
    94,440x = 204,420 × 204,420
  4. Step 4: Simplify right side
    94,440x = 41,787,536,400
  5. Step 5: Solve for x
    x = 41,787,536,400/94,440
  6. Step 6: Final answer
    x = 442,477.09

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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.