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Finding the Third Proportional to 115,884 and 251,424

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Solution

The third proportional to 115,884 and 251,424 is: 545,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,884 : 251,424 = 251,424 : x
  2. Step 2: Convert to fraction form
    115,884/251,424 = 251,424/x
  3. Step 3: Cross multiply
    115,884x = 251,424 × 251,424
  4. Step 4: Simplify right side
    115,884x = 63,214,027,776
  5. Step 5: Solve for x
    x = 63,214,027,776/115,884
  6. Step 6: Final answer
    x = 545,494.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.