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Finding the Third Proportional to 266,208 and 402,086

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Solution

The third proportional to 266,208 and 402,086 is: 607,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,208 : 402,086 = 402,086 : x
  2. Step 2: Convert to fraction form
    266,208/402,086 = 402,086/x
  3. Step 3: Cross multiply
    266,208x = 402,086 × 402,086
  4. Step 4: Simplify right side
    266,208x = 161,673,151,396
  5. Step 5: Solve for x
    x = 161,673,151,396/266,208
  6. Step 6: Final answer
    x = 607,318.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.