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Finding the Third Proportional to 151,969.50 and 351,811.69

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Solution

The third proportional to 151,969.50 and 351,811.69 is: 814,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,969.50 : 351,811.69 = 351,811.69 : x
  2. Step 2: Convert to fraction form
    151,969.50/351,811.69 = 351,811.69/x
  3. Step 3: Cross multiply
    151,969.50x = 351,811.69 × 351,811.69
  4. Step 4: Simplify right side
    151,969.50x = 123,771,463,461.60
  5. Step 5: Solve for x
    x = 123,771,463,461.60/151,969.50
  6. Step 6: Final answer
    x = 814,449.37

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.