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Finding the Third Proportional to 149,685 and 323,112

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Solution

The third proportional to 149,685 and 323,112 is: 697,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,685 : 323,112 = 323,112 : x
  2. Step 2: Convert to fraction form
    149,685/323,112 = 323,112/x
  3. Step 3: Cross multiply
    149,685x = 323,112 × 323,112
  4. Step 4: Simplify right side
    149,685x = 104,401,364,544
  5. Step 5: Solve for x
    x = 104,401,364,544/149,685
  6. Step 6: Final answer
    x = 697,473.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.