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Finding the Third Proportional to 143,426 and 210,986

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Solution

The third proportional to 143,426 and 210,986 is: 310,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,426 : 210,986 = 210,986 : x
  2. Step 2: Convert to fraction form
    143,426/210,986 = 210,986/x
  3. Step 3: Cross multiply
    143,426x = 210,986 × 210,986
  4. Step 4: Simplify right side
    143,426x = 44,515,092,196
  5. Step 5: Solve for x
    x = 44,515,092,196/143,426
  6. Step 6: Final answer
    x = 310,369.75

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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.