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Finding the Third Proportional to 237,492 and 340,194

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Solution

The third proportional to 237,492 and 340,194 is: 487,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,492 : 340,194 = 340,194 : x
  2. Step 2: Convert to fraction form
    237,492/340,194 = 340,194/x
  3. Step 3: Cross multiply
    237,492x = 340,194 × 340,194
  4. Step 4: Simplify right side
    237,492x = 115,731,957,636
  5. Step 5: Solve for x
    x = 115,731,957,636/237,492
  6. Step 6: Final answer
    x = 487,308.87

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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.