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Finding the Third Proportional to 148,837.50 and 351,279

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Solution

The third proportional to 148,837.50 and 351,279 is: 829,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,837.50 : 351,279 = 351,279 : x
  2. Step 2: Convert to fraction form
    148,837.50/351,279 = 351,279/x
  3. Step 3: Cross multiply
    148,837.50x = 351,279 × 351,279
  4. Step 4: Simplify right side
    148,837.50x = 123,396,935,841
  5. Step 5: Solve for x
    x = 123,396,935,841/148,837.50
  6. Step 6: Final answer
    x = 829,071.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.