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Finding the Third Proportional to 135,032 and 295,520

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Solution

The third proportional to 135,032 and 295,520 is: 646,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,032 : 295,520 = 295,520 : x
  2. Step 2: Convert to fraction form
    135,032/295,520 = 295,520/x
  3. Step 3: Cross multiply
    135,032x = 295,520 × 295,520
  4. Step 4: Simplify right side
    135,032x = 87,332,070,400
  5. Step 5: Solve for x
    x = 87,332,070,400/135,032
  6. Step 6: Final answer
    x = 646,750.92

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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.