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Finding the Third Proportional to 161,503.88 and 226,315.69

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Solution

The third proportional to 161,503.88 and 226,315.69 is: 317,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,503.88 : 226,315.69 = 226,315.69 : x
  2. Step 2: Convert to fraction form
    161,503.88/226,315.69 = 226,315.69/x
  3. Step 3: Cross multiply
    161,503.88x = 226,315.69 × 226,315.69
  4. Step 4: Simplify right side
    161,503.88x = 51,218,790,408.60
  5. Step 5: Solve for x
    x = 51,218,790,408.60/161,503.88
  6. Step 6: Final answer
    x = 317,136.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.