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Finding the Third Proportional to 149,630 and 327,412

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Solution

The third proportional to 149,630 and 327,412 is: 716,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,630 : 327,412 = 327,412 : x
  2. Step 2: Convert to fraction form
    149,630/327,412 = 327,412/x
  3. Step 3: Cross multiply
    149,630x = 327,412 × 327,412
  4. Step 4: Simplify right side
    149,630x = 107,198,617,744
  5. Step 5: Solve for x
    x = 107,198,617,744/149,630
  6. Step 6: Final answer
    x = 716,424.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.