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Finding the Third Proportional to 142,515 and 302,519.25

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Solution

The third proportional to 142,515 and 302,519.25 is: 642,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,515 : 302,519.25 = 302,519.25 : x
  2. Step 2: Convert to fraction form
    142,515/302,519.25 = 302,519.25/x
  3. Step 3: Cross multiply
    142,515x = 302,519.25 × 302,519.25
  4. Step 4: Simplify right side
    142,515x = 91,517,896,620.56
  5. Step 5: Solve for x
    x = 91,517,896,620.56/142,515
  6. Step 6: Final answer
    x = 642,163.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.