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Finding the Third Proportional to 234,648 and 336,258

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Solution

The third proportional to 234,648 and 336,258 is: 481,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,648 : 336,258 = 336,258 : x
  2. Step 2: Convert to fraction form
    234,648/336,258 = 336,258/x
  3. Step 3: Cross multiply
    234,648x = 336,258 × 336,258
  4. Step 4: Simplify right side
    234,648x = 113,069,442,564
  5. Step 5: Solve for x
    x = 113,069,442,564/234,648
  6. Step 6: Final answer
    x = 481,868.34

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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.