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Finding the Third Proportional to 148,980.09 and 305,802.84

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Solution

The third proportional to 148,980.09 and 305,802.84 is: 627,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980.09 : 305,802.84 = 305,802.84 : x
  2. Step 2: Convert to fraction form
    148,980.09/305,802.84 = 305,802.84/x
  3. Step 3: Cross multiply
    148,980.09x = 305,802.84 × 305,802.84
  4. Step 4: Simplify right side
    148,980.09x = 93,515,379,245.59
  5. Step 5: Solve for x
    x = 93,515,379,245.59/148,980.09
  6. Step 6: Final answer
    x = 627,703.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.