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Finding the Third Proportional to 175,032 and 262,494

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Solution

The third proportional to 175,032 and 262,494 is: 393,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,032 : 262,494 = 262,494 : x
  2. Step 2: Convert to fraction form
    175,032/262,494 = 262,494/x
  3. Step 3: Cross multiply
    175,032x = 262,494 × 262,494
  4. Step 4: Simplify right side
    175,032x = 68,903,100,036
  5. Step 5: Solve for x
    x = 68,903,100,036/175,032
  6. Step 6: Final answer
    x = 393,660.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.