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Finding the Third Proportional to 236,261 and 363,141.50

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Solution

The third proportional to 236,261 and 363,141.50 is: 558,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,261 : 363,141.50 = 363,141.50 : x
  2. Step 2: Convert to fraction form
    236,261/363,141.50 = 363,141.50/x
  3. Step 3: Cross multiply
    236,261x = 363,141.50 × 363,141.50
  4. Step 4: Simplify right side
    236,261x = 131,871,749,022.25
  5. Step 5: Solve for x
    x = 131,871,749,022.25/236,261
  6. Step 6: Final answer
    x = 558,161.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.