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Finding the Third Proportional to 174,196 and 254,571

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Solution

The third proportional to 174,196 and 254,571 is: 372,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,196 : 254,571 = 254,571 : x
  2. Step 2: Convert to fraction form
    174,196/254,571 = 254,571/x
  3. Step 3: Cross multiply
    174,196x = 254,571 × 254,571
  4. Step 4: Simplify right side
    174,196x = 64,806,394,041
  5. Step 5: Solve for x
    x = 64,806,394,041/174,196
  6. Step 6: Final answer
    x = 372,031.47

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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.