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Finding the Third Proportional to 148,814.25 and 351,224.25

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Solution

The third proportional to 148,814.25 and 351,224.25 is: 828,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,814.25 : 351,224.25 = 351,224.25 : x
  2. Step 2: Convert to fraction form
    148,814.25/351,224.25 = 351,224.25/x
  3. Step 3: Cross multiply
    148,814.25x = 351,224.25 × 351,224.25
  4. Step 4: Simplify right side
    148,814.25x = 123,358,473,788.06
  5. Step 5: Solve for x
    x = 123,358,473,788.06/148,814.25
  6. Step 6: Final answer
    x = 828,942.62

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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.