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Finding the Third Proportional to 94,820 and 204,583

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Solution

The third proportional to 94,820 and 204,583 is: 441,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,820 : 204,583 = 204,583 : x
  2. Step 2: Convert to fraction form
    94,820/204,583 = 204,583/x
  3. Step 3: Cross multiply
    94,820x = 204,583 × 204,583
  4. Step 4: Simplify right side
    94,820x = 41,854,203,889
  5. Step 5: Solve for x
    x = 41,854,203,889/94,820
  6. Step 6: Final answer
    x = 441,406.92

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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.