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Finding the Third Proportional to 135,013 and 295,442

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Solution

The third proportional to 135,013 and 295,442 is: 646,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,013 : 295,442 = 295,442 : x
  2. Step 2: Convert to fraction form
    135,013/295,442 = 295,442/x
  3. Step 3: Cross multiply
    135,013x = 295,442 × 295,442
  4. Step 4: Simplify right side
    135,013x = 87,285,975,364
  5. Step 5: Solve for x
    x = 87,285,975,364/135,013
  6. Step 6: Final answer
    x = 646,500.52

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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.