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Finding the Third Proportional to 152,302 and 351,019

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Solution

The third proportional to 152,302 and 351,019 is: 809,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,302 : 351,019 = 351,019 : x
  2. Step 2: Convert to fraction form
    152,302/351,019 = 351,019/x
  3. Step 3: Cross multiply
    152,302x = 351,019 × 351,019
  4. Step 4: Simplify right side
    152,302x = 123,214,338,361
  5. Step 5: Solve for x
    x = 123,214,338,361/152,302
  6. Step 6: Final answer
    x = 809,013.27

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.