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Finding the Third Proportional to 234,264 and 515,184

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Solution

The third proportional to 234,264 and 515,184 is: 1,132,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,264 : 515,184 = 515,184 : x
  2. Step 2: Convert to fraction form
    234,264/515,184 = 515,184/x
  3. Step 3: Cross multiply
    234,264x = 515,184 × 515,184
  4. Step 4: Simplify right side
    234,264x = 265,414,553,856
  5. Step 5: Solve for x
    x = 265,414,553,856/234,264
  6. Step 6: Final answer
    x = 1,132,972.01

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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.