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Finding the Third Proportional to 173,042 and 372,328

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Solution

The third proportional to 173,042 and 372,328 is: 801,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,042 : 372,328 = 372,328 : x
  2. Step 2: Convert to fraction form
    173,042/372,328 = 372,328/x
  3. Step 3: Cross multiply
    173,042x = 372,328 × 372,328
  4. Step 4: Simplify right side
    173,042x = 138,628,139,584
  5. Step 5: Solve for x
    x = 138,628,139,584/173,042
  6. Step 6: Final answer
    x = 801,124.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.