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Finding the Third Proportional to 135,462 and 290,508

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Solution

The third proportional to 135,462 and 290,508 is: 623,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,462 : 290,508 = 290,508 : x
  2. Step 2: Convert to fraction form
    135,462/290,508 = 290,508/x
  3. Step 3: Cross multiply
    135,462x = 290,508 × 290,508
  4. Step 4: Simplify right side
    135,462x = 84,394,898,064
  5. Step 5: Solve for x
    x = 84,394,898,064/135,462
  6. Step 6: Final answer
    x = 623,015.30

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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.