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Finding the Third Proportional to 234,658 and 336,270

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Solution

The third proportional to 234,658 and 336,270 is: 481,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,658 : 336,270 = 336,270 : x
  2. Step 2: Convert to fraction form
    234,658/336,270 = 336,270/x
  3. Step 3: Cross multiply
    234,658x = 336,270 × 336,270
  4. Step 4: Simplify right side
    234,658x = 113,077,512,900
  5. Step 5: Solve for x
    x = 113,077,512,900/234,658
  6. Step 6: Final answer
    x = 481,882.20

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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.