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Finding the Third Proportional to 183,469 and 291,880

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Solution

The third proportional to 183,469 and 291,880 is: 464,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,469 : 291,880 = 291,880 : x
  2. Step 2: Convert to fraction form
    183,469/291,880 = 291,880/x
  3. Step 3: Cross multiply
    183,469x = 291,880 × 291,880
  4. Step 4: Simplify right side
    183,469x = 85,193,934,400
  5. Step 5: Solve for x
    x = 85,193,934,400/183,469
  6. Step 6: Final answer
    x = 464,350.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.