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Finding the Third Proportional to 190,922.06 and 377,026.31

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Solution

The third proportional to 190,922.06 and 377,026.31 is: 744,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,922.06 : 377,026.31 = 377,026.31 : x
  2. Step 2: Convert to fraction form
    190,922.06/377,026.31 = 377,026.31/x
  3. Step 3: Cross multiply
    190,922.06x = 377,026.31 × 377,026.31
  4. Step 4: Simplify right side
    190,922.06x = 142,148,840,317.35
  5. Step 5: Solve for x
    x = 142,148,840,317.35/190,922.06
  6. Step 6: Final answer
    x = 744,538.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.