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Finding the Third Proportional to 251,566 and 341,828

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Solution

The third proportional to 251,566 and 341,828 is: 464,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,566 : 341,828 = 341,828 : x
  2. Step 2: Convert to fraction form
    251,566/341,828 = 341,828/x
  3. Step 3: Cross multiply
    251,566x = 341,828 × 341,828
  4. Step 4: Simplify right side
    251,566x = 116,846,381,584
  5. Step 5: Solve for x
    x = 116,846,381,584/251,566
  6. Step 6: Final answer
    x = 464,476.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.