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Finding the Third Proportional to 206,944 and 328,236

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Solution

The third proportional to 206,944 and 328,236 is: 520,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,944 : 328,236 = 328,236 : x
  2. Step 2: Convert to fraction form
    206,944/328,236 = 328,236/x
  3. Step 3: Cross multiply
    206,944x = 328,236 × 328,236
  4. Step 4: Simplify right side
    206,944x = 107,738,871,696
  5. Step 5: Solve for x
    x = 107,738,871,696/206,944
  6. Step 6: Final answer
    x = 520,618.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.