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Finding the Third Proportional to 149,609.50 and 327,371

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Solution

The third proportional to 149,609.50 and 327,371 is: 716,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,609.50 : 327,371 = 327,371 : x
  2. Step 2: Convert to fraction form
    149,609.50/327,371 = 327,371/x
  3. Step 3: Cross multiply
    149,609.50x = 327,371 × 327,371
  4. Step 4: Simplify right side
    149,609.50x = 107,171,771,641
  5. Step 5: Solve for x
    x = 107,171,771,641/149,609.50
  6. Step 6: Final answer
    x = 716,343.36

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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.