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Finding the Third Proportional to 133,086 and 291,937

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Solution

The third proportional to 133,086 and 291,937 is: 640,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,086 : 291,937 = 291,937 : x
  2. Step 2: Convert to fraction form
    133,086/291,937 = 291,937/x
  3. Step 3: Cross multiply
    133,086x = 291,937 × 291,937
  4. Step 4: Simplify right side
    133,086x = 85,227,211,969
  5. Step 5: Solve for x
    x = 85,227,211,969/133,086
  6. Step 6: Final answer
    x = 640,392.02

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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.