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Finding the Third Proportional to 144,831 and 190,894.50

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Solution

The third proportional to 144,831 and 190,894.50 is: 251,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,831 : 190,894.50 = 190,894.50 : x
  2. Step 2: Convert to fraction form
    144,831/190,894.50 = 190,894.50/x
  3. Step 3: Cross multiply
    144,831x = 190,894.50 × 190,894.50
  4. Step 4: Simplify right side
    144,831x = 36,440,710,130.25
  5. Step 5: Solve for x
    x = 36,440,710,130.25/144,831
  6. Step 6: Final answer
    x = 251,608.50

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.