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Finding the Third Proportional to 94,767 and 204,714

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Solution

The third proportional to 94,767 and 204,714 is: 442,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,767 : 204,714 = 204,714 : x
  2. Step 2: Convert to fraction form
    94,767/204,714 = 204,714/x
  3. Step 3: Cross multiply
    94,767x = 204,714 × 204,714
  4. Step 4: Simplify right side
    94,767x = 41,907,821,796
  5. Step 5: Solve for x
    x = 41,907,821,796/94,767
  6. Step 6: Final answer
    x = 442,219.57

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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.