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Finding the Third Proportional to 175,972 and 250,728

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Solution

The third proportional to 175,972 and 250,728 is: 357,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,972 : 250,728 = 250,728 : x
  2. Step 2: Convert to fraction form
    175,972/250,728 = 250,728/x
  3. Step 3: Cross multiply
    175,972x = 250,728 × 250,728
  4. Step 4: Simplify right side
    175,972x = 62,864,529,984
  5. Step 5: Solve for x
    x = 62,864,529,984/175,972
  6. Step 6: Final answer
    x = 357,241.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.