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Finding the Third Proportional to 268,493 and 376,291

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Solution

The third proportional to 268,493 and 376,291 is: 527,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,493 : 376,291 = 376,291 : x
  2. Step 2: Convert to fraction form
    268,493/376,291 = 376,291/x
  3. Step 3: Cross multiply
    268,493x = 376,291 × 376,291
  4. Step 4: Simplify right side
    268,493x = 141,594,916,681
  5. Step 5: Solve for x
    x = 141,594,916,681/268,493
  6. Step 6: Final answer
    x = 527,369.12

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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.