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Finding the Third Proportional to 123,823.69 and 271,381.64

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Solution

The third proportional to 123,823.69 and 271,381.64 is: 594,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,823.69 : 271,381.64 = 271,381.64 : x
  2. Step 2: Convert to fraction form
    123,823.69/271,381.64 = 271,381.64/x
  3. Step 3: Cross multiply
    123,823.69x = 271,381.64 × 271,381.64
  4. Step 4: Simplify right side
    123,823.69x = 73,647,994,868.32
  5. Step 5: Solve for x
    x = 73,647,994,868.32/123,823.69
  6. Step 6: Final answer
    x = 594,781.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.