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Finding the Third Proportional to 266,206.50 and 295,093.13

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Solution

The third proportional to 266,206.50 and 295,093.13 is: 327,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,206.50 : 295,093.13 = 295,093.13 : x
  2. Step 2: Convert to fraction form
    266,206.50/295,093.13 = 295,093.13/x
  3. Step 3: Cross multiply
    266,206.50x = 295,093.13 × 295,093.13
  4. Step 4: Simplify right side
    266,206.50x = 87,079,952,422.27
  5. Step 5: Solve for x
    x = 87,079,952,422.27/266,206.50
  6. Step 6: Final answer
    x = 327,114.30

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.