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Finding the Third Proportional to 143,702 and 193,317

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Solution

The third proportional to 143,702 and 193,317 is: 260,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,702 : 193,317 = 193,317 : x
  2. Step 2: Convert to fraction form
    143,702/193,317 = 193,317/x
  3. Step 3: Cross multiply
    143,702x = 193,317 × 193,317
  4. Step 4: Simplify right side
    143,702x = 37,371,462,489
  5. Step 5: Solve for x
    x = 37,371,462,489/143,702
  6. Step 6: Final answer
    x = 260,062.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.