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Finding the Third Proportional to 144,969 and 217,726

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Solution

The third proportional to 144,969 and 217,726 is: 326,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,969 : 217,726 = 217,726 : x
  2. Step 2: Convert to fraction form
    144,969/217,726 = 217,726/x
  3. Step 3: Cross multiply
    144,969x = 217,726 × 217,726
  4. Step 4: Simplify right side
    144,969x = 47,404,611,076
  5. Step 5: Solve for x
    x = 47,404,611,076/144,969
  6. Step 6: Final answer
    x = 326,998.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.