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Finding the Third Proportional to 109,590.75 and 236,250

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Solution

The third proportional to 109,590.75 and 236,250 is: 509,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,590.75 : 236,250 = 236,250 : x
  2. Step 2: Convert to fraction form
    109,590.75/236,250 = 236,250/x
  3. Step 3: Cross multiply
    109,590.75x = 236,250 × 236,250
  4. Step 4: Simplify right side
    109,590.75x = 55,814,062,500
  5. Step 5: Solve for x
    x = 55,814,062,500/109,590.75
  6. Step 6: Final answer
    x = 509,295.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.