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Finding the Third Proportional to 174,932 and 367,489

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Solution

The third proportional to 174,932 and 367,489 is: 772,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,932 : 367,489 = 367,489 : x
  2. Step 2: Convert to fraction form
    174,932/367,489 = 367,489/x
  3. Step 3: Cross multiply
    174,932x = 367,489 × 367,489
  4. Step 4: Simplify right side
    174,932x = 135,048,165,121
  5. Step 5: Solve for x
    x = 135,048,165,121/174,932
  6. Step 6: Final answer
    x = 772,003.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.