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Finding the Third Proportional to 141,000 and 305,232

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Solution

The third proportional to 141,000 and 305,232 is: 660,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,000 : 305,232 = 305,232 : x
  2. Step 2: Convert to fraction form
    141,000/305,232 = 305,232/x
  3. Step 3: Cross multiply
    141,000x = 305,232 × 305,232
  4. Step 4: Simplify right side
    141,000x = 93,166,573,824
  5. Step 5: Solve for x
    x = 93,166,573,824/141,000
  6. Step 6: Final answer
    x = 660,755.84

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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.