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Finding the Third Proportional to 203,544 and 298,024

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Solution

The third proportional to 203,544 and 298,024 is: 436,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,544 : 298,024 = 298,024 : x
  2. Step 2: Convert to fraction form
    203,544/298,024 = 298,024/x
  3. Step 3: Cross multiply
    203,544x = 298,024 × 298,024
  4. Step 4: Simplify right side
    203,544x = 88,818,304,576
  5. Step 5: Solve for x
    x = 88,818,304,576/203,544
  6. Step 6: Final answer
    x = 436,359.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.