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Finding the Third Proportional to 143,116 and 210,295

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Solution

The third proportional to 143,116 and 210,295 is: 309,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,116 : 210,295 = 210,295 : x
  2. Step 2: Convert to fraction form
    143,116/210,295 = 210,295/x
  3. Step 3: Cross multiply
    143,116x = 210,295 × 210,295
  4. Step 4: Simplify right side
    143,116x = 44,223,987,025
  5. Step 5: Solve for x
    x = 44,223,987,025/143,116
  6. Step 6: Final answer
    x = 309,007.99

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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.