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Finding the Third Proportional to 116,444 and 250,728

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Solution

The third proportional to 116,444 and 250,728 is: 539,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,444 : 250,728 = 250,728 : x
  2. Step 2: Convert to fraction form
    116,444/250,728 = 250,728/x
  3. Step 3: Cross multiply
    116,444x = 250,728 × 250,728
  4. Step 4: Simplify right side
    116,444x = 62,864,529,984
  5. Step 5: Solve for x
    x = 62,864,529,984/116,444
  6. Step 6: Final answer
    x = 539,869.21

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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.