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Finding the Third Proportional to 148,535.50 and 309,311

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Solution

The third proportional to 148,535.50 and 309,311 is: 644,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,535.50 : 309,311 = 309,311 : x
  2. Step 2: Convert to fraction form
    148,535.50/309,311 = 309,311/x
  3. Step 3: Cross multiply
    148,535.50x = 309,311 × 309,311
  4. Step 4: Simplify right side
    148,535.50x = 95,673,294,721
  5. Step 5: Solve for x
    x = 95,673,294,721/148,535.50
  6. Step 6: Final answer
    x = 644,110.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.