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Finding the Third Proportional to 94,254 and 204,870

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Solution

The third proportional to 94,254 and 204,870 is: 445,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,254 : 204,870 = 204,870 : x
  2. Step 2: Convert to fraction form
    94,254/204,870 = 204,870/x
  3. Step 3: Cross multiply
    94,254x = 204,870 × 204,870
  4. Step 4: Simplify right side
    94,254x = 41,971,716,900
  5. Step 5: Solve for x
    x = 41,971,716,900/94,254
  6. Step 6: Final answer
    x = 445,304.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.