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Finding the Third Proportional to 136,804.50 and 218,543.50

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Solution

The third proportional to 136,804.50 and 218,543.50 is: 349,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,804.50 : 218,543.50 = 218,543.50 : x
  2. Step 2: Convert to fraction form
    136,804.50/218,543.50 = 218,543.50/x
  3. Step 3: Cross multiply
    136,804.50x = 218,543.50 × 218,543.50
  4. Step 4: Simplify right side
    136,804.50x = 47,761,261,392.25
  5. Step 5: Solve for x
    x = 47,761,261,392.25/136,804.50
  6. Step 6: Final answer
    x = 349,120.54

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.