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Finding the Third Proportional to 143,462.25 and 210,585.38

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Solution

The third proportional to 143,462.25 and 210,585.38 is: 309,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,462.25 : 210,585.38 = 210,585.38 : x
  2. Step 2: Convert to fraction form
    143,462.25/210,585.38 = 210,585.38/x
  3. Step 3: Cross multiply
    143,462.25x = 210,585.38 × 210,585.38
  4. Step 4: Simplify right side
    143,462.25x = 44,346,200,163.89
  5. Step 5: Solve for x
    x = 44,346,200,163.89/143,462.25
  6. Step 6: Final answer
    x = 309,114.07

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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.