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Finding the Third Proportional to 100,184 and 236,924

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Solution

The third proportional to 100,184 and 236,924 is: 560,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,184 : 236,924 = 236,924 : x
  2. Step 2: Convert to fraction form
    100,184/236,924 = 236,924/x
  3. Step 3: Cross multiply
    100,184x = 236,924 × 236,924
  4. Step 4: Simplify right side
    100,184x = 56,132,981,776
  5. Step 5: Solve for x
    x = 56,132,981,776/100,184
  6. Step 6: Final answer
    x = 560,298.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.