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Finding the Third Proportional to 206,526 and 277,935

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Solution

The third proportional to 206,526 and 277,935 is: 374,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,526 : 277,935 = 277,935 : x
  2. Step 2: Convert to fraction form
    206,526/277,935 = 277,935/x
  3. Step 3: Cross multiply
    206,526x = 277,935 × 277,935
  4. Step 4: Simplify right side
    206,526x = 77,247,864,225
  5. Step 5: Solve for x
    x = 77,247,864,225/206,526
  6. Step 6: Final answer
    x = 374,034.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.