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Finding the Third Proportional to 143,716.50 and 302,316.75

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Solution

The third proportional to 143,716.50 and 302,316.75 is: 635,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,716.50 : 302,316.75 = 302,316.75 : x
  2. Step 2: Convert to fraction form
    143,716.50/302,316.75 = 302,316.75/x
  3. Step 3: Cross multiply
    143,716.50x = 302,316.75 × 302,316.75
  4. Step 4: Simplify right side
    143,716.50x = 91,395,417,330.56
  5. Step 5: Solve for x
    x = 91,395,417,330.56/143,716.50
  6. Step 6: Final answer
    x = 635,942.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.