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Finding the Third Proportional to 233,649 and 355,093.50

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Solution

The third proportional to 233,649 and 355,093.50 is: 539,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,649 : 355,093.50 = 355,093.50 : x
  2. Step 2: Convert to fraction form
    233,649/355,093.50 = 355,093.50/x
  3. Step 3: Cross multiply
    233,649x = 355,093.50 × 355,093.50
  4. Step 4: Simplify right side
    233,649x = 126,091,393,742.25
  5. Step 5: Solve for x
    x = 126,091,393,742.25/233,649
  6. Step 6: Final answer
    x = 539,661.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.