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Finding the Third Proportional to 237,494 and 340,197

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Solution

The third proportional to 237,494 and 340,197 is: 487,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,494 : 340,197 = 340,197 : x
  2. Step 2: Convert to fraction form
    237,494/340,197 = 340,197/x
  3. Step 3: Cross multiply
    237,494x = 340,197 × 340,197
  4. Step 4: Simplify right side
    237,494x = 115,733,998,809
  5. Step 5: Solve for x
    x = 115,733,998,809/237,494
  6. Step 6: Final answer
    x = 487,313.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.