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Finding the Third Proportional to 115,500 and 250,728

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Solution

The third proportional to 115,500 and 250,728 is: 544,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,500 : 250,728 = 250,728 : x
  2. Step 2: Convert to fraction form
    115,500/250,728 = 250,728/x
  3. Step 3: Cross multiply
    115,500x = 250,728 × 250,728
  4. Step 4: Simplify right side
    115,500x = 62,864,529,984
  5. Step 5: Solve for x
    x = 62,864,529,984/115,500
  6. Step 6: Final answer
    x = 544,281.64

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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.