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Finding the Third Proportional to 173,496 and 378,525

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Solution

The third proportional to 173,496 and 378,525 is: 825,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,496 : 378,525 = 378,525 : x
  2. Step 2: Convert to fraction form
    173,496/378,525 = 378,525/x
  3. Step 3: Cross multiply
    173,496x = 378,525 × 378,525
  4. Step 4: Simplify right side
    173,496x = 143,281,175,625
  5. Step 5: Solve for x
    x = 143,281,175,625/173,496
  6. Step 6: Final answer
    x = 825,847.14

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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.