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Finding the Third Proportional to 236,097 and 505,851.75

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Solution

The third proportional to 236,097 and 505,851.75 is: 1,083,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,097 : 505,851.75 = 505,851.75 : x
  2. Step 2: Convert to fraction form
    236,097/505,851.75 = 505,851.75/x
  3. Step 3: Cross multiply
    236,097x = 505,851.75 × 505,851.75
  4. Step 4: Simplify right side
    236,097x = 255,885,992,978.06
  5. Step 5: Solve for x
    x = 255,885,992,978.06/236,097
  6. Step 6: Final answer
    x = 1,083,817.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.