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Finding the Third Proportional to 126,413 and 270,322

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Solution

The third proportional to 126,413 and 270,322 is: 578,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,413 : 270,322 = 270,322 : x
  2. Step 2: Convert to fraction form
    126,413/270,322 = 270,322/x
  3. Step 3: Cross multiply
    126,413x = 270,322 × 270,322
  4. Step 4: Simplify right side
    126,413x = 73,073,983,684
  5. Step 5: Solve for x
    x = 73,073,983,684/126,413
  6. Step 6: Final answer
    x = 578,057.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.