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Finding the Third Proportional to 117,243.84 and 255,938.91

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Solution

The third proportional to 117,243.84 and 255,938.91 is: 558,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,243.84 : 255,938.91 = 255,938.91 : x
  2. Step 2: Convert to fraction form
    117,243.84/255,938.91 = 255,938.91/x
  3. Step 3: Cross multiply
    117,243.84x = 255,938.91 × 255,938.91
  4. Step 4: Simplify right side
    117,243.84x = 65,504,723,732.45
  5. Step 5: Solve for x
    x = 65,504,723,732.45/117,243.84
  6. Step 6: Final answer
    x = 558,705.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.