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Finding the Third Proportional to 94,431 and 202,895

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Solution

The third proportional to 94,431 and 202,895 is: 435,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,431 : 202,895 = 202,895 : x
  2. Step 2: Convert to fraction form
    94,431/202,895 = 202,895/x
  3. Step 3: Cross multiply
    94,431x = 202,895 × 202,895
  4. Step 4: Simplify right side
    94,431x = 41,166,381,025
  5. Step 5: Solve for x
    x = 41,166,381,025/94,431
  6. Step 6: Final answer
    x = 435,941.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.