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Finding the Third Proportional to 144,892.69 and 311,209.88

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Solution

The third proportional to 144,892.69 and 311,209.88 is: 668,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,892.69 : 311,209.88 = 311,209.88 : x
  2. Step 2: Convert to fraction form
    144,892.69/311,209.88 = 311,209.88/x
  3. Step 3: Cross multiply
    144,892.69x = 311,209.88 × 311,209.88
  4. Step 4: Simplify right side
    144,892.69x = 96,851,586,297.52
  5. Step 5: Solve for x
    x = 96,851,586,297.52/144,892.69
  6. Step 6: Final answer
    x = 668,436.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.