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Finding the Third Proportional to 149,350.50 and 322,467

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Solution

The third proportional to 149,350.50 and 322,467 is: 696,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,350.50 : 322,467 = 322,467 : x
  2. Step 2: Convert to fraction form
    149,350.50/322,467 = 322,467/x
  3. Step 3: Cross multiply
    149,350.50x = 322,467 × 322,467
  4. Step 4: Simplify right side
    149,350.50x = 103,984,966,089
  5. Step 5: Solve for x
    x = 103,984,966,089/149,350.50
  6. Step 6: Final answer
    x = 696,247.86

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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.