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Finding the Third Proportional to 144,891 and 230,548.50

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Solution

The third proportional to 144,891 and 230,548.50 is: 366,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,891 : 230,548.50 = 230,548.50 : x
  2. Step 2: Convert to fraction form
    144,891/230,548.50 = 230,548.50/x
  3. Step 3: Cross multiply
    144,891x = 230,548.50 × 230,548.50
  4. Step 4: Simplify right side
    144,891x = 53,152,610,852.25
  5. Step 5: Solve for x
    x = 53,152,610,852.25/144,891
  6. Step 6: Final answer
    x = 366,845.50

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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.