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Finding the Third Proportional to 143,013 and 210,388.50

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Solution

The third proportional to 143,013 and 210,388.50 is: 309,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,013 : 210,388.50 = 210,388.50 : x
  2. Step 2: Convert to fraction form
    143,013/210,388.50 = 210,388.50/x
  3. Step 3: Cross multiply
    143,013x = 210,388.50 × 210,388.50
  4. Step 4: Simplify right side
    143,013x = 44,263,320,932.25
  5. Step 5: Solve for x
    x = 44,263,320,932.25/143,013
  6. Step 6: Final answer
    x = 309,505.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.