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Finding the Third Proportional to 94,381 and 207,412

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Solution

The third proportional to 94,381 and 207,412 is: 455,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,381 : 207,412 = 207,412 : x
  2. Step 2: Convert to fraction form
    94,381/207,412 = 207,412/x
  3. Step 3: Cross multiply
    94,381x = 207,412 × 207,412
  4. Step 4: Simplify right side
    94,381x = 43,019,737,744
  5. Step 5: Solve for x
    x = 43,019,737,744/94,381
  6. Step 6: Final answer
    x = 455,809.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.