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Finding the Third Proportional to 149,465 and 323,353

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Solution

The third proportional to 149,465 and 323,353 is: 699,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,465 : 323,353 = 323,353 : x
  2. Step 2: Convert to fraction form
    149,465/323,353 = 323,353/x
  3. Step 3: Cross multiply
    149,465x = 323,353 × 323,353
  4. Step 4: Simplify right side
    149,465x = 104,557,162,609
  5. Step 5: Solve for x
    x = 104,557,162,609/149,465
  6. Step 6: Final answer
    x = 699,542.79

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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.