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Finding the Third Proportional to 94,960 and 204,964

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Solution

The third proportional to 94,960 and 204,964 is: 442,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,960 : 204,964 = 204,964 : x
  2. Step 2: Convert to fraction form
    94,960/204,964 = 204,964/x
  3. Step 3: Cross multiply
    94,960x = 204,964 × 204,964
  4. Step 4: Simplify right side
    94,960x = 42,010,241,296
  5. Step 5: Solve for x
    x = 42,010,241,296/94,960
  6. Step 6: Final answer
    x = 442,399.34

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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.