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Finding the Third Proportional to 135,022 and 295,471

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Solution

The third proportional to 135,022 and 295,471 is: 646,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,022 : 295,471 = 295,471 : x
  2. Step 2: Convert to fraction form
    135,022/295,471 = 295,471/x
  3. Step 3: Cross multiply
    135,022x = 295,471 × 295,471
  4. Step 4: Simplify right side
    135,022x = 87,303,111,841
  5. Step 5: Solve for x
    x = 87,303,111,841/135,022
  6. Step 6: Final answer
    x = 646,584.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.