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Finding the Third Proportional to 202,342 and 291,462

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Solution

The third proportional to 202,342 and 291,462 is: 419,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,342 : 291,462 = 291,462 : x
  2. Step 2: Convert to fraction form
    202,342/291,462 = 291,462/x
  3. Step 3: Cross multiply
    202,342x = 291,462 × 291,462
  4. Step 4: Simplify right side
    202,342x = 84,950,097,444
  5. Step 5: Solve for x
    x = 84,950,097,444/202,342
  6. Step 6: Final answer
    x = 419,834.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.