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Finding the Third Proportional to 149,966 and 316,790

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Solution

The third proportional to 149,966 and 316,790 is: 669,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,966 : 316,790 = 316,790 : x
  2. Step 2: Convert to fraction form
    149,966/316,790 = 316,790/x
  3. Step 3: Cross multiply
    149,966x = 316,790 × 316,790
  4. Step 4: Simplify right side
    149,966x = 100,355,904,100
  5. Step 5: Solve for x
    x = 100,355,904,100/149,966
  6. Step 6: Final answer
    x = 669,191.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.