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Finding the Third Proportional to 143,398 and 315,022

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Solution

The third proportional to 143,398 and 315,022 is: 692,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,398 : 315,022 = 315,022 : x
  2. Step 2: Convert to fraction form
    143,398/315,022 = 315,022/x
  3. Step 3: Cross multiply
    143,398x = 315,022 × 315,022
  4. Step 4: Simplify right side
    143,398x = 99,238,860,484
  5. Step 5: Solve for x
    x = 99,238,860,484/143,398
  6. Step 6: Final answer
    x = 692,051.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.