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Finding the Third Proportional to 182,198 and 291,083

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Solution

The third proportional to 182,198 and 291,083 is: 465,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,198 : 291,083 = 291,083 : x
  2. Step 2: Convert to fraction form
    182,198/291,083 = 291,083/x
  3. Step 3: Cross multiply
    182,198x = 291,083 × 291,083
  4. Step 4: Simplify right side
    182,198x = 84,729,312,889
  5. Step 5: Solve for x
    x = 84,729,312,889/182,198
  6. Step 6: Final answer
    x = 465,039.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.