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Finding the Third Proportional to 174,553.31 and 266,902.59

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Solution

The third proportional to 174,553.31 and 266,902.59 is: 408,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,553.31 : 266,902.59 = 266,902.59 : x
  2. Step 2: Convert to fraction form
    174,553.31/266,902.59 = 266,902.59/x
  3. Step 3: Cross multiply
    174,553.31x = 266,902.59 × 266,902.59
  4. Step 4: Simplify right side
    174,553.31x = 71,236,994,550.48
  5. Step 5: Solve for x
    x = 71,236,994,550.48/174,553.31
  6. Step 6: Final answer
    x = 408,110.24

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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.