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Finding the Third Proportional to 141,895 and 305,936

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Solution

The third proportional to 141,895 and 305,936 is: 659,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,895 : 305,936 = 305,936 : x
  2. Step 2: Convert to fraction form
    141,895/305,936 = 305,936/x
  3. Step 3: Cross multiply
    141,895x = 305,936 × 305,936
  4. Step 4: Simplify right side
    141,895x = 93,596,836,096
  5. Step 5: Solve for x
    x = 93,596,836,096/141,895
  6. Step 6: Final answer
    x = 659,620.40

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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.