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Finding the Third Proportional to 173,286 and 372,358

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Solution

The third proportional to 173,286 and 372,358 is: 800,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,286 : 372,358 = 372,358 : x
  2. Step 2: Convert to fraction form
    173,286/372,358 = 372,358/x
  3. Step 3: Cross multiply
    173,286x = 372,358 × 372,358
  4. Step 4: Simplify right side
    173,286x = 138,650,480,164
  5. Step 5: Solve for x
    x = 138,650,480,164/173,286
  6. Step 6: Final answer
    x = 800,125.11

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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.