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Finding the Third Proportional to 152,575.50 and 232,415.25

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Solution

The third proportional to 152,575.50 and 232,415.25 is: 354,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,575.50 : 232,415.25 = 232,415.25 : x
  2. Step 2: Convert to fraction form
    152,575.50/232,415.25 = 232,415.25/x
  3. Step 3: Cross multiply
    152,575.50x = 232,415.25 × 232,415.25
  4. Step 4: Simplify right side
    152,575.50x = 54,016,848,432.56
  5. Step 5: Solve for x
    x = 54,016,848,432.56/152,575.50
  6. Step 6: Final answer
    x = 354,033.57

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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.