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Finding the Third Proportional to 144,504.75 and 230,133.75

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Solution

The third proportional to 144,504.75 and 230,133.75 is: 366,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,504.75 : 230,133.75 = 230,133.75 : x
  2. Step 2: Convert to fraction form
    144,504.75/230,133.75 = 230,133.75/x
  3. Step 3: Cross multiply
    144,504.75x = 230,133.75 × 230,133.75
  4. Step 4: Simplify right side
    144,504.75x = 52,961,542,889.06
  5. Step 5: Solve for x
    x = 52,961,542,889.06/144,504.75
  6. Step 6: Final answer
    x = 366,503.82

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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.