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Finding the Third Proportional to 135,022 and 295,460

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Solution

The third proportional to 135,022 and 295,460 is: 646,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,022 : 295,460 = 295,460 : x
  2. Step 2: Convert to fraction form
    135,022/295,460 = 295,460/x
  3. Step 3: Cross multiply
    135,022x = 295,460 × 295,460
  4. Step 4: Simplify right side
    135,022x = 87,296,611,600
  5. Step 5: Solve for x
    x = 87,296,611,600/135,022
  6. Step 6: Final answer
    x = 646,536.21

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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.