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Finding the Third Proportional to 199,384 and 296,194

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Solution

The third proportional to 199,384 and 296,194 is: 440,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,384 : 296,194 = 296,194 : x
  2. Step 2: Convert to fraction form
    199,384/296,194 = 296,194/x
  3. Step 3: Cross multiply
    199,384x = 296,194 × 296,194
  4. Step 4: Simplify right side
    199,384x = 87,730,885,636
  5. Step 5: Solve for x
    x = 87,730,885,636/199,384
  6. Step 6: Final answer
    x = 440,009.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.