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Finding the Third Proportional to 135,066 and 312,694

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Solution

The third proportional to 135,066 and 312,694 is: 723,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,066 : 312,694 = 312,694 : x
  2. Step 2: Convert to fraction form
    135,066/312,694 = 312,694/x
  3. Step 3: Cross multiply
    135,066x = 312,694 × 312,694
  4. Step 4: Simplify right side
    135,066x = 97,777,537,636
  5. Step 5: Solve for x
    x = 97,777,537,636/135,066
  6. Step 6: Final answer
    x = 723,924.14

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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.