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Finding the Third Proportional to 115,019 and 234,733

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Solution

The third proportional to 115,019 and 234,733 is: 479,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,019 : 234,733 = 234,733 : x
  2. Step 2: Convert to fraction form
    115,019/234,733 = 234,733/x
  3. Step 3: Cross multiply
    115,019x = 234,733 × 234,733
  4. Step 4: Simplify right side
    115,019x = 55,099,581,289
  5. Step 5: Solve for x
    x = 55,099,581,289/115,019
  6. Step 6: Final answer
    x = 479,047.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.