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Finding the Third Proportional to 115,320 and 250,824

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Solution

The third proportional to 115,320 and 250,824 is: 545,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,320 : 250,824 = 250,824 : x
  2. Step 2: Convert to fraction form
    115,320/250,824 = 250,824/x
  3. Step 3: Cross multiply
    115,320x = 250,824 × 250,824
  4. Step 4: Simplify right side
    115,320x = 62,912,678,976
  5. Step 5: Solve for x
    x = 62,912,678,976/115,320
  6. Step 6: Final answer
    x = 545,548.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.