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Finding the Third Proportional to 149,634 and 320,022

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Solution

The third proportional to 149,634 and 320,022 is: 684,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,634 : 320,022 = 320,022 : x
  2. Step 2: Convert to fraction form
    149,634/320,022 = 320,022/x
  3. Step 3: Cross multiply
    149,634x = 320,022 × 320,022
  4. Step 4: Simplify right side
    149,634x = 102,414,080,484
  5. Step 5: Solve for x
    x = 102,414,080,484/149,634
  6. Step 6: Final answer
    x = 684,430.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.