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Finding the Third Proportional to 133,779 and 289,974

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Solution

The third proportional to 133,779 and 289,974 is: 628,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,779 : 289,974 = 289,974 : x
  2. Step 2: Convert to fraction form
    133,779/289,974 = 289,974/x
  3. Step 3: Cross multiply
    133,779x = 289,974 × 289,974
  4. Step 4: Simplify right side
    133,779x = 84,084,920,676
  5. Step 5: Solve for x
    x = 84,084,920,676/133,779
  6. Step 6: Final answer
    x = 628,536.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.