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Finding the Third Proportional to 135,017 and 295,463

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Solution

The third proportional to 135,017 and 295,463 is: 646,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,017 : 295,463 = 295,463 : x
  2. Step 2: Convert to fraction form
    135,017/295,463 = 295,463/x
  3. Step 3: Cross multiply
    135,017x = 295,463 × 295,463
  4. Step 4: Simplify right side
    135,017x = 87,298,384,369
  5. Step 5: Solve for x
    x = 87,298,384,369/135,017
  6. Step 6: Final answer
    x = 646,573.28

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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.