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Finding the Third Proportional to 155,966 and 235,057

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Solution

The third proportional to 155,966 and 235,057 is: 354,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,966 : 235,057 = 235,057 : x
  2. Step 2: Convert to fraction form
    155,966/235,057 = 235,057/x
  3. Step 3: Cross multiply
    155,966x = 235,057 × 235,057
  4. Step 4: Simplify right side
    155,966x = 55,251,793,249
  5. Step 5: Solve for x
    x = 55,251,793,249/155,966
  6. Step 6: Final answer
    x = 354,255.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.