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Finding the Third Proportional to 234,249 and 515,146

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Solution

The third proportional to 234,249 and 515,146 is: 1,132,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,249 : 515,146 = 515,146 : x
  2. Step 2: Convert to fraction form
    234,249/515,146 = 515,146/x
  3. Step 3: Cross multiply
    234,249x = 515,146 × 515,146
  4. Step 4: Simplify right side
    234,249x = 265,375,401,316
  5. Step 5: Solve for x
    x = 265,375,401,316/234,249
  6. Step 6: Final answer
    x = 1,132,877.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.