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Finding the Third Proportional to 234,248 and 515,144

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Solution

The third proportional to 234,248 and 515,144 is: 1,132,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,248 : 515,144 = 515,144 : x
  2. Step 2: Convert to fraction form
    234,248/515,144 = 515,144/x
  3. Step 3: Cross multiply
    234,248x = 515,144 × 515,144
  4. Step 4: Simplify right side
    234,248x = 265,373,340,736
  5. Step 5: Solve for x
    x = 265,373,340,736/234,248
  6. Step 6: Final answer
    x = 1,132,873.45

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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.