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Finding the Third Proportional to 200,226 and 309,924

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Solution

The third proportional to 200,226 and 309,924 is: 479,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,226 : 309,924 = 309,924 : x
  2. Step 2: Convert to fraction form
    200,226/309,924 = 309,924/x
  3. Step 3: Cross multiply
    200,226x = 309,924 × 309,924
  4. Step 4: Simplify right side
    200,226x = 96,052,885,776
  5. Step 5: Solve for x
    x = 96,052,885,776/200,226
  6. Step 6: Final answer
    x = 479,722.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.