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Finding the Third Proportional to 161,488.50 and 231,161.25

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Solution

The third proportional to 161,488.50 and 231,161.25 is: 330,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,488.50 : 231,161.25 = 231,161.25 : x
  2. Step 2: Convert to fraction form
    161,488.50/231,161.25 = 231,161.25/x
  3. Step 3: Cross multiply
    161,488.50x = 231,161.25 × 231,161.25
  4. Step 4: Simplify right side
    161,488.50x = 53,435,523,501.56
  5. Step 5: Solve for x
    x = 53,435,523,501.56/161,488.50
  6. Step 6: Final answer
    x = 330,893.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.