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Finding the Third Proportional to 268,456 and 375,517

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Solution

The third proportional to 268,456 and 375,517 is: 525,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,456 : 375,517 = 375,517 : x
  2. Step 2: Convert to fraction form
    268,456/375,517 = 375,517/x
  3. Step 3: Cross multiply
    268,456x = 375,517 × 375,517
  4. Step 4: Simplify right side
    268,456x = 141,013,017,289
  5. Step 5: Solve for x
    x = 141,013,017,289/268,456
  6. Step 6: Final answer
    x = 525,274.22

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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.