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Finding the Third Proportional to 206,700 and 316,161

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Solution

The third proportional to 206,700 and 316,161 is: 483,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,700 : 316,161 = 316,161 : x
  2. Step 2: Convert to fraction form
    206,700/316,161 = 316,161/x
  3. Step 3: Cross multiply
    206,700x = 316,161 × 316,161
  4. Step 4: Simplify right side
    206,700x = 99,957,777,921
  5. Step 5: Solve for x
    x = 99,957,777,921/206,700
  6. Step 6: Final answer
    x = 483,588.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.