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Finding the Third Proportional to 159,066 and 346,122

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Solution

The third proportional to 159,066 and 346,122 is: 753,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,066 : 346,122 = 346,122 : x
  2. Step 2: Convert to fraction form
    159,066/346,122 = 346,122/x
  3. Step 3: Cross multiply
    159,066x = 346,122 × 346,122
  4. Step 4: Simplify right side
    159,066x = 119,800,438,884
  5. Step 5: Solve for x
    x = 119,800,438,884/159,066
  6. Step 6: Final answer
    x = 753,149.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.