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Finding the Third Proportional to 140,628 and 222,526

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Solution

The third proportional to 140,628 and 222,526 is: 352,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,628 : 222,526 = 222,526 : x
  2. Step 2: Convert to fraction form
    140,628/222,526 = 222,526/x
  3. Step 3: Cross multiply
    140,628x = 222,526 × 222,526
  4. Step 4: Simplify right side
    140,628x = 49,517,820,676
  5. Step 5: Solve for x
    x = 49,517,820,676/140,628
  6. Step 6: Final answer
    x = 352,119.21

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.