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Finding the Third Proportional to 133,986 and 291,276

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Solution

The third proportional to 133,986 and 291,276 is: 633,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986 : 291,276 = 291,276 : x
  2. Step 2: Convert to fraction form
    133,986/291,276 = 291,276/x
  3. Step 3: Cross multiply
    133,986x = 291,276 × 291,276
  4. Step 4: Simplify right side
    133,986x = 84,841,708,176
  5. Step 5: Solve for x
    x = 84,841,708,176/133,986
  6. Step 6: Final answer
    x = 633,213.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.