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Finding the Third Proportional to 245,105 and 337,523

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Solution

The third proportional to 245,105 and 337,523 is: 464,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,105 : 337,523 = 337,523 : x
  2. Step 2: Convert to fraction form
    245,105/337,523 = 337,523/x
  3. Step 3: Cross multiply
    245,105x = 337,523 × 337,523
  4. Step 4: Simplify right side
    245,105x = 113,921,775,529
  5. Step 5: Solve for x
    x = 113,921,775,529/245,105
  6. Step 6: Final answer
    x = 464,787.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.