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Finding the Third Proportional to 174,558.50 and 266,910.50

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Solution

The third proportional to 174,558.50 and 266,910.50 is: 408,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,558.50 : 266,910.50 = 266,910.50 : x
  2. Step 2: Convert to fraction form
    174,558.50/266,910.50 = 266,910.50/x
  3. Step 3: Cross multiply
    174,558.50x = 266,910.50 × 266,910.50
  4. Step 4: Simplify right side
    174,558.50x = 71,241,215,010.25
  5. Step 5: Solve for x
    x = 71,241,215,010.25/174,558.50
  6. Step 6: Final answer
    x = 408,122.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.