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Finding the Third Proportional to 148,852.69 and 214,462.69

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Solution

The third proportional to 148,852.69 and 214,462.69 is: 308,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,852.69 : 214,462.69 = 214,462.69 : x
  2. Step 2: Convert to fraction form
    148,852.69/214,462.69 = 214,462.69/x
  3. Step 3: Cross multiply
    148,852.69x = 214,462.69 × 214,462.69
  4. Step 4: Simplify right side
    148,852.69x = 45,994,244,329.72
  5. Step 5: Solve for x
    x = 45,994,244,329.72/148,852.69
  6. Step 6: Final answer
    x = 308,991.70

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.