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Finding the Third Proportional to 115,425 and 247,272.75

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Solution

The third proportional to 115,425 and 247,272.75 is: 529,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,425 : 247,272.75 = 247,272.75 : x
  2. Step 2: Convert to fraction form
    115,425/247,272.75 = 247,272.75/x
  3. Step 3: Cross multiply
    115,425x = 247,272.75 × 247,272.75
  4. Step 4: Simplify right side
    115,425x = 61,143,812,892.56
  5. Step 5: Solve for x
    x = 61,143,812,892.56/115,425
  6. Step 6: Final answer
    x = 529,727.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.