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Finding the Third Proportional to 133,092 and 291,947

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Solution

The third proportional to 133,092 and 291,947 is: 640,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,092 : 291,947 = 291,947 : x
  2. Step 2: Convert to fraction form
    133,092/291,947 = 291,947/x
  3. Step 3: Cross multiply
    133,092x = 291,947 × 291,947
  4. Step 4: Simplify right side
    133,092x = 85,233,050,809
  5. Step 5: Solve for x
    x = 85,233,050,809/133,092
  6. Step 6: Final answer
    x = 640,407.02

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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.