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Finding the Third Proportional to 174,434 and 255,419

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Solution

The third proportional to 174,434 and 255,419 is: 374,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,434 : 255,419 = 255,419 : x
  2. Step 2: Convert to fraction form
    174,434/255,419 = 255,419/x
  3. Step 3: Cross multiply
    174,434x = 255,419 × 255,419
  4. Step 4: Simplify right side
    174,434x = 65,238,865,561
  5. Step 5: Solve for x
    x = 65,238,865,561/174,434
  6. Step 6: Final answer
    x = 374,003.15

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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.