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Finding the Third Proportional to 268,463 and 375,525

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Solution

The third proportional to 268,463 and 375,525 is: 525,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,463 : 375,525 = 375,525 : x
  2. Step 2: Convert to fraction form
    268,463/375,525 = 375,525/x
  3. Step 3: Cross multiply
    268,463x = 375,525 × 375,525
  4. Step 4: Simplify right side
    268,463x = 141,019,025,625
  5. Step 5: Solve for x
    x = 141,019,025,625/268,463
  6. Step 6: Final answer
    x = 525,282.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.