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Finding the Third Proportional to 145,351.13 and 311,716.69

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Solution

The third proportional to 145,351.13 and 311,716.69 is: 668,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,351.13 : 311,716.69 = 311,716.69 : x
  2. Step 2: Convert to fraction form
    145,351.13/311,716.69 = 311,716.69/x
  3. Step 3: Cross multiply
    145,351.13x = 311,716.69 × 311,716.69
  4. Step 4: Simplify right side
    145,351.13x = 97,167,293,265.97
  5. Step 5: Solve for x
    x = 97,167,293,265.97/145,351.13
  6. Step 6: Final answer
    x = 668,500.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.