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Finding the Third Proportional to 173,210 and 372,206

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Solution

The third proportional to 173,210 and 372,206 is: 799,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,210 : 372,206 = 372,206 : x
  2. Step 2: Convert to fraction form
    173,210/372,206 = 372,206/x
  3. Step 3: Cross multiply
    173,210x = 372,206 × 372,206
  4. Step 4: Simplify right side
    173,210x = 138,537,306,436
  5. Step 5: Solve for x
    x = 138,537,306,436/173,210
  6. Step 6: Final answer
    x = 799,822.80

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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.