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Finding the Third Proportional to 173,205 and 372,195

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Solution

The third proportional to 173,205 and 372,195 is: 799,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,205 : 372,195 = 372,195 : x
  2. Step 2: Convert to fraction form
    173,205/372,195 = 372,195/x
  3. Step 3: Cross multiply
    173,205x = 372,195 × 372,195
  4. Step 4: Simplify right side
    173,205x = 138,529,118,025
  5. Step 5: Solve for x
    x = 138,529,118,025/173,205
  6. Step 6: Final answer
    x = 799,798.61

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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.