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Finding the Third Proportional to 135,036 and 312,624

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Solution

The third proportional to 135,036 and 312,624 is: 723,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,036 : 312,624 = 312,624 : x
  2. Step 2: Convert to fraction form
    135,036/312,624 = 312,624/x
  3. Step 3: Cross multiply
    135,036x = 312,624 × 312,624
  4. Step 4: Simplify right side
    135,036x = 97,733,765,376
  5. Step 5: Solve for x
    x = 97,733,765,376/135,036
  6. Step 6: Final answer
    x = 723,760.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.