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Finding the Third Proportional to 144,869 and 230,515.50

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Solution

The third proportional to 144,869 and 230,515.50 is: 366,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,869 : 230,515.50 = 230,515.50 : x
  2. Step 2: Convert to fraction form
    144,869/230,515.50 = 230,515.50/x
  3. Step 3: Cross multiply
    144,869x = 230,515.50 × 230,515.50
  4. Step 4: Simplify right side
    144,869x = 53,137,395,740.25
  5. Step 5: Solve for x
    x = 53,137,395,740.25/144,869
  6. Step 6: Final answer
    x = 366,796.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.