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Finding the Third Proportional to 174,192 and 260,608

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Solution

The third proportional to 174,192 and 260,608 is: 389,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,192 : 260,608 = 260,608 : x
  2. Step 2: Convert to fraction form
    174,192/260,608 = 260,608/x
  3. Step 3: Cross multiply
    174,192x = 260,608 × 260,608
  4. Step 4: Simplify right side
    174,192x = 67,916,529,664
  5. Step 5: Solve for x
    x = 67,916,529,664/174,192
  6. Step 6: Final answer
    x = 389,894.65

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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.