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Finding the Third Proportional to 234,654 and 336,264

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Solution

The third proportional to 234,654 and 336,264 is: 481,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,654 : 336,264 = 336,264 : x
  2. Step 2: Convert to fraction form
    234,654/336,264 = 336,264/x
  3. Step 3: Cross multiply
    234,654x = 336,264 × 336,264
  4. Step 4: Simplify right side
    234,654x = 113,073,477,696
  5. Step 5: Solve for x
    x = 113,073,477,696/234,654
  6. Step 6: Final answer
    x = 481,873.22

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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.