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Finding the Third Proportional to 135,018 and 295,463

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Solution

The third proportional to 135,018 and 295,463 is: 646,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,018 : 295,463 = 295,463 : x
  2. Step 2: Convert to fraction form
    135,018/295,463 = 295,463/x
  3. Step 3: Cross multiply
    135,018x = 295,463 × 295,463
  4. Step 4: Simplify right side
    135,018x = 87,298,384,369
  5. Step 5: Solve for x
    x = 87,298,384,369/135,018
  6. Step 6: Final answer
    x = 646,568.49

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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.