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Finding the Third Proportional to 141,900 and 305,946

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Solution

The third proportional to 141,900 and 305,946 is: 659,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,900 : 305,946 = 305,946 : x
  2. Step 2: Convert to fraction form
    141,900/305,946 = 305,946/x
  3. Step 3: Cross multiply
    141,900x = 305,946 × 305,946
  4. Step 4: Simplify right side
    141,900x = 93,602,954,916
  5. Step 5: Solve for x
    x = 93,602,954,916/141,900
  6. Step 6: Final answer
    x = 659,640.27

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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.