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Finding the Third Proportional to 183,469 and 291,879

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Solution

The third proportional to 183,469 and 291,879 is: 464,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,469 : 291,879 = 291,879 : x
  2. Step 2: Convert to fraction form
    183,469/291,879 = 291,879/x
  3. Step 3: Cross multiply
    183,469x = 291,879 × 291,879
  4. Step 4: Simplify right side
    183,469x = 85,193,350,641
  5. Step 5: Solve for x
    x = 85,193,350,641/183,469
  6. Step 6: Final answer
    x = 464,347.39

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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.