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Finding the Third Proportional to 135,052 and 293,144

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Solution

The third proportional to 135,052 and 293,144 is: 636,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,052 : 293,144 = 293,144 : x
  2. Step 2: Convert to fraction form
    135,052/293,144 = 293,144/x
  3. Step 3: Cross multiply
    135,052x = 293,144 × 293,144
  4. Step 4: Simplify right side
    135,052x = 85,933,404,736
  5. Step 5: Solve for x
    x = 85,933,404,736/135,052
  6. Step 6: Final answer
    x = 636,298.65

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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.