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Finding the Third Proportional to 150,981 and 308,514

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Solution

The third proportional to 150,981 and 308,514 is: 630,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,981 : 308,514 = 308,514 : x
  2. Step 2: Convert to fraction form
    150,981/308,514 = 308,514/x
  3. Step 3: Cross multiply
    150,981x = 308,514 × 308,514
  4. Step 4: Simplify right side
    150,981x = 95,180,888,196
  5. Step 5: Solve for x
    x = 95,180,888,196/150,981
  6. Step 6: Final answer
    x = 630,416.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.