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Finding the Third Proportional to 141,320 and 303,112

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Solution

The third proportional to 141,320 and 303,112 is: 650,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,320 : 303,112 = 303,112 : x
  2. Step 2: Convert to fraction form
    141,320/303,112 = 303,112/x
  3. Step 3: Cross multiply
    141,320x = 303,112 × 303,112
  4. Step 4: Simplify right side
    141,320x = 91,876,884,544
  5. Step 5: Solve for x
    x = 91,876,884,544/141,320
  6. Step 6: Final answer
    x = 650,133.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.