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Finding the Third Proportional to 234,419 and 361,356

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Solution

The third proportional to 234,419 and 361,356 is: 557,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,419 : 361,356 = 361,356 : x
  2. Step 2: Convert to fraction form
    234,419/361,356 = 361,356/x
  3. Step 3: Cross multiply
    234,419x = 361,356 × 361,356
  4. Step 4: Simplify right side
    234,419x = 130,578,158,736
  5. Step 5: Solve for x
    x = 130,578,158,736/234,419
  6. Step 6: Final answer
    x = 557,028.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.