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Finding the Third Proportional to 120,916.50 and 263,337

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Solution

The third proportional to 120,916.50 and 263,337 is: 573,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,916.50 : 263,337 = 263,337 : x
  2. Step 2: Convert to fraction form
    120,916.50/263,337 = 263,337/x
  3. Step 3: Cross multiply
    120,916.50x = 263,337 × 263,337
  4. Step 4: Simplify right side
    120,916.50x = 69,346,375,569
  5. Step 5: Solve for x
    x = 69,346,375,569/120,916.50
  6. Step 6: Final answer
    x = 573,506.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.