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Finding the Third Proportional to 135,125 and 312,777

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Solution

The third proportional to 135,125 and 312,777 is: 723,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,125 : 312,777 = 312,777 : x
  2. Step 2: Convert to fraction form
    135,125/312,777 = 312,777/x
  3. Step 3: Cross multiply
    135,125x = 312,777 × 312,777
  4. Step 4: Simplify right side
    135,125x = 97,829,451,729
  5. Step 5: Solve for x
    x = 97,829,451,729/135,125
  6. Step 6: Final answer
    x = 723,992.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.