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Finding the Third Proportional to 174,965 and 256,860

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Solution

The third proportional to 174,965 and 256,860 is: 377,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,965 : 256,860 = 256,860 : x
  2. Step 2: Convert to fraction form
    174,965/256,860 = 256,860/x
  3. Step 3: Cross multiply
    174,965x = 256,860 × 256,860
  4. Step 4: Simplify right side
    174,965x = 65,977,059,600
  5. Step 5: Solve for x
    x = 65,977,059,600/174,965
  6. Step 6: Final answer
    x = 377,087.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.