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Finding the Third Proportional to 206,702 and 316,164

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Solution

The third proportional to 206,702 and 316,164 is: 483,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,702 : 316,164 = 316,164 : x
  2. Step 2: Convert to fraction form
    206,702/316,164 = 316,164/x
  3. Step 3: Cross multiply
    206,702x = 316,164 × 316,164
  4. Step 4: Simplify right side
    206,702x = 99,959,674,896
  5. Step 5: Solve for x
    x = 99,959,674,896/206,702
  6. Step 6: Final answer
    x = 483,593.17

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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.