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Finding the Third Proportional to 133,084 and 291,933

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Solution

The third proportional to 133,084 and 291,933 is: 640,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084 : 291,933 = 291,933 : x
  2. Step 2: Convert to fraction form
    133,084/291,933 = 291,933/x
  3. Step 3: Cross multiply
    133,084x = 291,933 × 291,933
  4. Step 4: Simplify right side
    133,084x = 85,224,876,489
  5. Step 5: Solve for x
    x = 85,224,876,489/133,084
  6. Step 6: Final answer
    x = 640,384.09

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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.