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Finding the Third Proportional to 148,010.06 and 319,697.44

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Solution

The third proportional to 148,010.06 and 319,697.44 is: 690,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,010.06 : 319,697.44 = 319,697.44 : x
  2. Step 2: Convert to fraction form
    148,010.06/319,697.44 = 319,697.44/x
  3. Step 3: Cross multiply
    148,010.06x = 319,697.44 × 319,697.44
  4. Step 4: Simplify right side
    148,010.06x = 102,206,451,544.07
  5. Step 5: Solve for x
    x = 102,206,451,544.07/148,010.06
  6. Step 6: Final answer
    x = 690,537.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.