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Finding the Third Proportional to 136,826 and 300,624

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Solution

The third proportional to 136,826 and 300,624 is: 660,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,826 : 300,624 = 300,624 : x
  2. Step 2: Convert to fraction form
    136,826/300,624 = 300,624/x
  3. Step 3: Cross multiply
    136,826x = 300,624 × 300,624
  4. Step 4: Simplify right side
    136,826x = 90,374,789,376
  5. Step 5: Solve for x
    x = 90,374,789,376/136,826
  6. Step 6: Final answer
    x = 660,508.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.