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Finding the Third Proportional to 253,722 and 551,184

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Solution

The third proportional to 253,722 and 551,184 is: 1,197,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,722 : 551,184 = 551,184 : x
  2. Step 2: Convert to fraction form
    253,722/551,184 = 551,184/x
  3. Step 3: Cross multiply
    253,722x = 551,184 × 551,184
  4. Step 4: Simplify right side
    253,722x = 303,803,801,856
  5. Step 5: Solve for x
    x = 303,803,801,856/253,722
  6. Step 6: Final answer
    x = 1,197,388.49

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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.