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Finding the Third Proportional to 135,733 and 295,562

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Solution

The third proportional to 135,733 and 295,562 is: 643,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,733 : 295,562 = 295,562 : x
  2. Step 2: Convert to fraction form
    135,733/295,562 = 295,562/x
  3. Step 3: Cross multiply
    135,733x = 295,562 × 295,562
  4. Step 4: Simplify right side
    135,733x = 87,356,895,844
  5. Step 5: Solve for x
    x = 87,356,895,844/135,733
  6. Step 6: Final answer
    x = 643,593.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.