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Finding the Third Proportional to 157,592.25 and 236,550.38

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Solution

The third proportional to 157,592.25 and 236,550.38 is: 355,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,592.25 : 236,550.38 = 236,550.38 : x
  2. Step 2: Convert to fraction form
    157,592.25/236,550.38 = 236,550.38/x
  3. Step 3: Cross multiply
    157,592.25x = 236,550.38 × 236,550.38
  4. Step 4: Simplify right side
    157,592.25x = 55,956,079,912.64
  5. Step 5: Solve for x
    x = 55,956,079,912.64/157,592.25
  6. Step 6: Final answer
    x = 355,068.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.