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Finding the Third Proportional to 204,096 and 306,924

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Solution

The third proportional to 204,096 and 306,924 is: 461,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,096 : 306,924 = 306,924 : x
  2. Step 2: Convert to fraction form
    204,096/306,924 = 306,924/x
  3. Step 3: Cross multiply
    204,096x = 306,924 × 306,924
  4. Step 4: Simplify right side
    204,096x = 94,202,341,776
  5. Step 5: Solve for x
    x = 94,202,341,776/204,096
  6. Step 6: Final answer
    x = 461,558.98

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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.