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Finding the Third Proportional to 266,250.16 and 363,755.34

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Solution

The third proportional to 266,250.16 and 363,755.34 is: 496,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,250.16 : 363,755.34 = 363,755.34 : x
  2. Step 2: Convert to fraction form
    266,250.16/363,755.34 = 363,755.34/x
  3. Step 3: Cross multiply
    266,250.16x = 363,755.34 × 363,755.34
  4. Step 4: Simplify right side
    266,250.16x = 132,317,945,843.93
  5. Step 5: Solve for x
    x = 132,317,945,843.93/266,250.16
  6. Step 6: Final answer
    x = 496,968.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.