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Finding the Third Proportional to 152,376.19 and 203,851.69

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Solution

The third proportional to 152,376.19 and 203,851.69 is: 272,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,376.19 : 203,851.69 = 203,851.69 : x
  2. Step 2: Convert to fraction form
    152,376.19/203,851.69 = 203,851.69/x
  3. Step 3: Cross multiply
    152,376.19x = 203,851.69 × 203,851.69
  4. Step 4: Simplify right side
    152,376.19x = 41,555,510,496.60
  5. Step 5: Solve for x
    x = 41,555,510,496.60/152,376.19
  6. Step 6: Final answer
    x = 272,716.57

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.