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Finding the Third Proportional to 141,349 and 307,238

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Solution

The third proportional to 141,349 and 307,238 is: 667,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,349 : 307,238 = 307,238 : x
  2. Step 2: Convert to fraction form
    141,349/307,238 = 307,238/x
  3. Step 3: Cross multiply
    141,349x = 307,238 × 307,238
  4. Step 4: Simplify right side
    141,349x = 94,395,188,644
  5. Step 5: Solve for x
    x = 94,395,188,644/141,349
  6. Step 6: Final answer
    x = 667,816.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.