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Finding the Third Proportional to 210,552 and 273,186

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Solution

The third proportional to 210,552 and 273,186 is: 354,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,552 : 273,186 = 273,186 : x
  2. Step 2: Convert to fraction form
    210,552/273,186 = 273,186/x
  3. Step 3: Cross multiply
    210,552x = 273,186 × 273,186
  4. Step 4: Simplify right side
    210,552x = 74,630,590,596
  5. Step 5: Solve for x
    x = 74,630,590,596/210,552
  6. Step 6: Final answer
    x = 354,452.06

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.