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Finding the Third Proportional to 234,976 and 334,968

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Solution

The third proportional to 234,976 and 334,968 is: 477,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,976 : 334,968 = 334,968 : x
  2. Step 2: Convert to fraction form
    234,976/334,968 = 334,968/x
  3. Step 3: Cross multiply
    234,976x = 334,968 × 334,968
  4. Step 4: Simplify right side
    234,976x = 112,203,561,024
  5. Step 5: Solve for x
    x = 112,203,561,024/234,976
  6. Step 6: Final answer
    x = 477,510.73

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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.