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Finding the Third Proportional to 133,986 and 294,270

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Solution

The third proportional to 133,986 and 294,270 is: 646,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986 : 294,270 = 294,270 : x
  2. Step 2: Convert to fraction form
    133,986/294,270 = 294,270/x
  3. Step 3: Cross multiply
    133,986x = 294,270 × 294,270
  4. Step 4: Simplify right side
    133,986x = 86,594,832,900
  5. Step 5: Solve for x
    x = 86,594,832,900/133,986
  6. Step 6: Final answer
    x = 646,297.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.