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Finding the Third Proportional to 158,238 and 346,517

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Solution

The third proportional to 158,238 and 346,517 is: 758,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,238 : 346,517 = 346,517 : x
  2. Step 2: Convert to fraction form
    158,238/346,517 = 346,517/x
  3. Step 3: Cross multiply
    158,238x = 346,517 × 346,517
  4. Step 4: Simplify right side
    158,238x = 120,074,031,289
  5. Step 5: Solve for x
    x = 120,074,031,289/158,238
  6. Step 6: Final answer
    x = 758,819.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.