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Finding the Third Proportional to 142,414 and 303,232

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Solution

The third proportional to 142,414 and 303,232 is: 645,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,414 : 303,232 = 303,232 : x
  2. Step 2: Convert to fraction form
    142,414/303,232 = 303,232/x
  3. Step 3: Cross multiply
    142,414x = 303,232 × 303,232
  4. Step 4: Simplify right side
    142,414x = 91,949,645,824
  5. Step 5: Solve for x
    x = 91,949,645,824/142,414
  6. Step 6: Final answer
    x = 645,650.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.