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Finding the Third Proportional to 203,176 and 309,924

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Solution

The third proportional to 203,176 and 309,924 is: 472,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,176 : 309,924 = 309,924 : x
  2. Step 2: Convert to fraction form
    203,176/309,924 = 309,924/x
  3. Step 3: Cross multiply
    203,176x = 309,924 × 309,924
  4. Step 4: Simplify right side
    203,176x = 96,052,885,776
  5. Step 5: Solve for x
    x = 96,052,885,776/203,176
  6. Step 6: Final answer
    x = 472,757.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.