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Finding the Third Proportional to 155,194.88 and 237,305.25

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Solution

The third proportional to 155,194.88 and 237,305.25 is: 362,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,194.88 : 237,305.25 = 237,305.25 : x
  2. Step 2: Convert to fraction form
    155,194.88/237,305.25 = 237,305.25/x
  3. Step 3: Cross multiply
    155,194.88x = 237,305.25 × 237,305.25
  4. Step 4: Simplify right side
    155,194.88x = 56,313,781,677.56
  5. Step 5: Solve for x
    x = 56,313,781,677.56/155,194.88
  6. Step 6: Final answer
    x = 362,858.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.