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Finding the Third Proportional to 174,150 and 266,213.25

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Solution

The third proportional to 174,150 and 266,213.25 is: 406,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,150 : 266,213.25 = 266,213.25 : x
  2. Step 2: Convert to fraction form
    174,150/266,213.25 = 266,213.25/x
  3. Step 3: Cross multiply
    174,150x = 266,213.25 × 266,213.25
  4. Step 4: Simplify right side
    174,150x = 70,869,494,475.56
  5. Step 5: Solve for x
    x = 70,869,494,475.56/174,150
  6. Step 6: Final answer
    x = 406,945.13

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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.