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Finding the Third Proportional to 175,936 and 265,408

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Solution

The third proportional to 175,936 and 265,408 is: 400,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,936 : 265,408 = 265,408 : x
  2. Step 2: Convert to fraction form
    175,936/265,408 = 265,408/x
  3. Step 3: Cross multiply
    175,936x = 265,408 × 265,408
  4. Step 4: Simplify right side
    175,936x = 70,441,406,464
  5. Step 5: Solve for x
    x = 70,441,406,464/175,936
  6. Step 6: Final answer
    x = 400,380.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.