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Finding the Third Proportional to 204,334 and 306,777

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Solution

The third proportional to 204,334 and 306,777 is: 460,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,334 : 306,777 = 306,777 : x
  2. Step 2: Convert to fraction form
    204,334/306,777 = 306,777/x
  3. Step 3: Cross multiply
    204,334x = 306,777 × 306,777
  4. Step 4: Simplify right side
    204,334x = 94,112,127,729
  5. Step 5: Solve for x
    x = 94,112,127,729/204,334
  6. Step 6: Final answer
    x = 460,579.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.