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Finding the Third Proportional to 236,097 and 356,122.25

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Solution

The third proportional to 236,097 and 356,122.25 is: 537,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,097 : 356,122.25 = 356,122.25 : x
  2. Step 2: Convert to fraction form
    236,097/356,122.25 = 356,122.25/x
  3. Step 3: Cross multiply
    236,097x = 356,122.25 × 356,122.25
  4. Step 4: Simplify right side
    236,097x = 126,823,056,945.06
  5. Step 5: Solve for x
    x = 126,823,056,945.06/236,097
  6. Step 6: Final answer
    x = 537,165.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.