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Finding the Third Proportional to 236,110.57 and 265,635.07

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Solution

The third proportional to 236,110.57 and 265,635.07 is: 298,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,110.57 : 265,635.07 = 265,635.07 : x
  2. Step 2: Convert to fraction form
    236,110.57/265,635.07 = 265,635.07/x
  3. Step 3: Cross multiply
    236,110.57x = 265,635.07 × 265,635.07
  4. Step 4: Simplify right side
    236,110.57x = 70,561,990,579.93
  5. Step 5: Solve for x
    x = 70,561,990,579.93/236,110.57
  6. Step 6: Final answer
    x = 298,851.47

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.