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Finding the Third Proportional to 175,453 and 250,057

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Solution

The third proportional to 175,453 and 250,057 is: 356,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,453 : 250,057 = 250,057 : x
  2. Step 2: Convert to fraction form
    175,453/250,057 = 250,057/x
  3. Step 3: Cross multiply
    175,453x = 250,057 × 250,057
  4. Step 4: Simplify right side
    175,453x = 62,528,503,249
  5. Step 5: Solve for x
    x = 62,528,503,249/175,453
  6. Step 6: Final answer
    x = 356,383.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.