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Finding the Third Proportional to 172,148 and 372,882

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Solution

The third proportional to 172,148 and 372,882 is: 807,682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,148 : 372,882 = 372,882 : x
  2. Step 2: Convert to fraction form
    172,148/372,882 = 372,882/x
  3. Step 3: Cross multiply
    172,148x = 372,882 × 372,882
  4. Step 4: Simplify right side
    172,148x = 139,040,985,924
  5. Step 5: Solve for x
    x = 139,040,985,924/172,148
  6. Step 6: Final answer
    x = 807,682.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.