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Finding the Third Proportional to 143,052 and 213,822

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Solution

The third proportional to 143,052 and 213,822 is: 319,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,052 : 213,822 = 213,822 : x
  2. Step 2: Convert to fraction form
    143,052/213,822 = 213,822/x
  3. Step 3: Cross multiply
    143,052x = 213,822 × 213,822
  4. Step 4: Simplify right side
    143,052x = 45,719,847,684
  5. Step 5: Solve for x
    x = 45,719,847,684/143,052
  6. Step 6: Final answer
    x = 319,603.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.