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Finding the Third Proportional to 115,392 and 248,280

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Solution

The third proportional to 115,392 and 248,280 is: 534,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,392 : 248,280 = 248,280 : x
  2. Step 2: Convert to fraction form
    115,392/248,280 = 248,280/x
  3. Step 3: Cross multiply
    115,392x = 248,280 × 248,280
  4. Step 4: Simplify right side
    115,392x = 61,642,958,400
  5. Step 5: Solve for x
    x = 61,642,958,400/115,392
  6. Step 6: Final answer
    x = 534,204.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.