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Finding the Third Proportional to 135,252 and 294,014

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Solution

The third proportional to 135,252 and 294,014 is: 639,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,252 : 294,014 = 294,014 : x
  2. Step 2: Convert to fraction form
    135,252/294,014 = 294,014/x
  3. Step 3: Cross multiply
    135,252x = 294,014 × 294,014
  4. Step 4: Simplify right side
    135,252x = 86,444,232,196
  5. Step 5: Solve for x
    x = 86,444,232,196/135,252
  6. Step 6: Final answer
    x = 639,134.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.