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Finding the Third Proportional to 149,960 and 316,777

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Solution

The third proportional to 149,960 and 316,777 is: 669,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,960 : 316,777 = 316,777 : x
  2. Step 2: Convert to fraction form
    149,960/316,777 = 316,777/x
  3. Step 3: Cross multiply
    149,960x = 316,777 × 316,777
  4. Step 4: Simplify right side
    149,960x = 100,347,667,729
  5. Step 5: Solve for x
    x = 100,347,667,729/149,960
  6. Step 6: Final answer
    x = 669,162.89

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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.