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Finding the Third Proportional to 174,192 and 254,565

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Solution

The third proportional to 174,192 and 254,565 is: 372,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,192 : 254,565 = 254,565 : x
  2. Step 2: Convert to fraction form
    174,192/254,565 = 254,565/x
  3. Step 3: Cross multiply
    174,192x = 254,565 × 254,565
  4. Step 4: Simplify right side
    174,192x = 64,803,339,225
  5. Step 5: Solve for x
    x = 64,803,339,225/174,192
  6. Step 6: Final answer
    x = 372,022.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.