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Finding the Third Proportional to 115,542 and 248,272

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Solution

The third proportional to 115,542 and 248,272 is: 533,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,542 : 248,272 = 248,272 : x
  2. Step 2: Convert to fraction form
    115,542/248,272 = 248,272/x
  3. Step 3: Cross multiply
    115,542x = 248,272 × 248,272
  4. Step 4: Simplify right side
    115,542x = 61,638,985,984
  5. Step 5: Solve for x
    x = 61,638,985,984/115,542
  6. Step 6: Final answer
    x = 533,476.88

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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.