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Finding the Third Proportional to 193,312 and 409,856

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Solution

The third proportional to 193,312 and 409,856 is: 868,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,312 : 409,856 = 409,856 : x
  2. Step 2: Convert to fraction form
    193,312/409,856 = 409,856/x
  3. Step 3: Cross multiply
    193,312x = 409,856 × 409,856
  4. Step 4: Simplify right side
    193,312x = 167,981,940,736
  5. Step 5: Solve for x
    x = 167,981,940,736/193,312
  6. Step 6: Final answer
    x = 868,967.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.