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Finding the Third Proportional to 135,318 and 293,701

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Solution

The third proportional to 135,318 and 293,701 is: 637,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,318 : 293,701 = 293,701 : x
  2. Step 2: Convert to fraction form
    135,318/293,701 = 293,701/x
  3. Step 3: Cross multiply
    135,318x = 293,701 × 293,701
  4. Step 4: Simplify right side
    135,318x = 86,260,277,401
  5. Step 5: Solve for x
    x = 86,260,277,401/135,318
  6. Step 6: Final answer
    x = 637,463.44

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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.