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Finding the Third Proportional to 234,982 and 334,977

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Solution

The third proportional to 234,982 and 334,977 is: 477,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,982 : 334,977 = 334,977 : x
  2. Step 2: Convert to fraction form
    234,982/334,977 = 334,977/x
  3. Step 3: Cross multiply
    234,982x = 334,977 × 334,977
  4. Step 4: Simplify right side
    234,982x = 112,209,590,529
  5. Step 5: Solve for x
    x = 112,209,590,529/234,982
  6. Step 6: Final answer
    x = 477,524.20

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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.