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Finding the Third Proportional to 134,921 and 296,086

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Solution

The third proportional to 134,921 and 296,086 is: 649,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,921 : 296,086 = 296,086 : x
  2. Step 2: Convert to fraction form
    134,921/296,086 = 296,086/x
  3. Step 3: Cross multiply
    134,921x = 296,086 × 296,086
  4. Step 4: Simplify right side
    134,921x = 87,666,919,396
  5. Step 5: Solve for x
    x = 87,666,919,396/134,921
  6. Step 6: Final answer
    x = 649,764.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.