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Finding the Third Proportional to 92,327 and 204,030

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Solution

The third proportional to 92,327 and 204,030 is: 450,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,327 : 204,030 = 204,030 : x
  2. Step 2: Convert to fraction form
    92,327/204,030 = 204,030/x
  3. Step 3: Cross multiply
    92,327x = 204,030 × 204,030
  4. Step 4: Simplify right side
    92,327x = 41,628,240,900
  5. Step 5: Solve for x
    x = 41,628,240,900/92,327
  6. Step 6: Final answer
    x = 450,878.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.