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Finding the Third Proportional to 173,294 and 372,374

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Solution

The third proportional to 173,294 and 372,374 is: 800,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,294 : 372,374 = 372,374 : x
  2. Step 2: Convert to fraction form
    173,294/372,374 = 372,374/x
  3. Step 3: Cross multiply
    173,294x = 372,374 × 372,374
  4. Step 4: Simplify right side
    173,294x = 138,662,395,876
  5. Step 5: Solve for x
    x = 138,662,395,876/173,294
  6. Step 6: Final answer
    x = 800,156.93

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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.