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Finding the Third Proportional to 203,974.50 and 292,105.50

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Solution

The third proportional to 203,974.50 and 292,105.50 is: 418,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,974.50 : 292,105.50 = 292,105.50 : x
  2. Step 2: Convert to fraction form
    203,974.50/292,105.50 = 292,105.50/x
  3. Step 3: Cross multiply
    203,974.50x = 292,105.50 × 292,105.50
  4. Step 4: Simplify right side
    203,974.50x = 85,325,623,130.25
  5. Step 5: Solve for x
    x = 85,325,623,130.25/203,974.50
  6. Step 6: Final answer
    x = 418,315.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.