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Finding the Third Proportional to 141,255.75 and 304,917.75

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Solution

The third proportional to 141,255.75 and 304,917.75 is: 658,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,255.75 : 304,917.75 = 304,917.75 : x
  2. Step 2: Convert to fraction form
    141,255.75/304,917.75 = 304,917.75/x
  3. Step 3: Cross multiply
    141,255.75x = 304,917.75 × 304,917.75
  4. Step 4: Simplify right side
    141,255.75x = 92,974,834,265.06
  5. Step 5: Solve for x
    x = 92,974,834,265.06/141,255.75
  6. Step 6: Final answer
    x = 658,202.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.