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Finding the Third Proportional to 174,937 and 262,357

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Solution

The third proportional to 174,937 and 262,357 is: 393,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,937 : 262,357 = 262,357 : x
  2. Step 2: Convert to fraction form
    174,937/262,357 = 262,357/x
  3. Step 3: Cross multiply
    174,937x = 262,357 × 262,357
  4. Step 4: Simplify right side
    174,937x = 68,831,195,449
  5. Step 5: Solve for x
    x = 68,831,195,449/174,937
  6. Step 6: Final answer
    x = 393,462.76

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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.