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Finding the Third Proportional to 237,996 and 515,178

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Solution

The third proportional to 237,996 and 515,178 is: 1,115,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,996 : 515,178 = 515,178 : x
  2. Step 2: Convert to fraction form
    237,996/515,178 = 515,178/x
  3. Step 3: Cross multiply
    237,996x = 515,178 × 515,178
  4. Step 4: Simplify right side
    237,996x = 265,408,371,684
  5. Step 5: Solve for x
    x = 265,408,371,684/237,996
  6. Step 6: Final answer
    x = 1,115,179.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.