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Finding the Third Proportional to 133,084.50 and 291,933

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Solution

The third proportional to 133,084.50 and 291,933 is: 640,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084.50 : 291,933 = 291,933 : x
  2. Step 2: Convert to fraction form
    133,084.50/291,933 = 291,933/x
  3. Step 3: Cross multiply
    133,084.50x = 291,933 × 291,933
  4. Step 4: Simplify right side
    133,084.50x = 85,224,876,489
  5. Step 5: Solve for x
    x = 85,224,876,489/133,084.50
  6. Step 6: Final answer
    x = 640,381.69

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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.