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Finding the Third Proportional to 206,877 and 316,332

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Solution

The third proportional to 206,877 and 316,332 is: 483,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,877 : 316,332 = 316,332 : x
  2. Step 2: Convert to fraction form
    206,877/316,332 = 316,332/x
  3. Step 3: Cross multiply
    206,877x = 316,332 × 316,332
  4. Step 4: Simplify right side
    206,877x = 100,065,934,224
  5. Step 5: Solve for x
    x = 100,065,934,224/206,877
  6. Step 6: Final answer
    x = 483,697.72

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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.