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Finding the Third Proportional to 190,633.50 and 376,482.94

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Solution

The third proportional to 190,633.50 and 376,482.94 is: 743,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,633.50 : 376,482.94 = 376,482.94 : x
  2. Step 2: Convert to fraction form
    190,633.50/376,482.94 = 376,482.94/x
  3. Step 3: Cross multiply
    190,633.50x = 376,482.94 × 376,482.94
  4. Step 4: Simplify right side
    190,633.50x = 141,739,402,228.63
  5. Step 5: Solve for x
    x = 141,739,402,228.63/190,633.50
  6. Step 6: Final answer
    x = 743,517.81

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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.