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Finding the Third Proportional to 109,329.75 and 240,185.25

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Solution

The third proportional to 109,329.75 and 240,185.25 is: 527,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,329.75 : 240,185.25 = 240,185.25 : x
  2. Step 2: Convert to fraction form
    109,329.75/240,185.25 = 240,185.25/x
  3. Step 3: Cross multiply
    109,329.75x = 240,185.25 × 240,185.25
  4. Step 4: Simplify right side
    109,329.75x = 57,688,954,317.56
  5. Step 5: Solve for x
    x = 57,688,954,317.56/109,329.75
  6. Step 6: Final answer
    x = 527,660.17

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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.