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Finding the Third Proportional to 266,905.13 and 313,961.06

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Solution

The third proportional to 266,905.13 and 313,961.06 is: 369,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,905.13 : 313,961.06 = 313,961.06 : x
  2. Step 2: Convert to fraction form
    266,905.13/313,961.06 = 313,961.06/x
  3. Step 3: Cross multiply
    266,905.13x = 313,961.06 × 313,961.06
  4. Step 4: Simplify right side
    266,905.13x = 98,571,548,766.13
  5. Step 5: Solve for x
    x = 98,571,548,766.13/266,905.13
  6. Step 6: Final answer
    x = 369,313.06

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.