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Finding the Third Proportional to 175,860 and 272,477

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Solution

The third proportional to 175,860 and 272,477 is: 422,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,860 : 272,477 = 272,477 : x
  2. Step 2: Convert to fraction form
    175,860/272,477 = 272,477/x
  3. Step 3: Cross multiply
    175,860x = 272,477 × 272,477
  4. Step 4: Simplify right side
    175,860x = 74,243,715,529
  5. Step 5: Solve for x
    x = 74,243,715,529/175,860
  6. Step 6: Final answer
    x = 422,175.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.