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Finding the Third Proportional to 135,637 and 294,625

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Solution

The third proportional to 135,637 and 294,625 is: 639,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,637 : 294,625 = 294,625 : x
  2. Step 2: Convert to fraction form
    135,637/294,625 = 294,625/x
  3. Step 3: Cross multiply
    135,637x = 294,625 × 294,625
  4. Step 4: Simplify right side
    135,637x = 86,803,890,625
  5. Step 5: Solve for x
    x = 86,803,890,625/135,637
  6. Step 6: Final answer
    x = 639,972.06

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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.