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Finding the Third Proportional to 190,767 and 376,732.50

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Solution

The third proportional to 190,767 and 376,732.50 is: 743,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,767 : 376,732.50 = 376,732.50 : x
  2. Step 2: Convert to fraction form
    190,767/376,732.50 = 376,732.50/x
  3. Step 3: Cross multiply
    190,767x = 376,732.50 × 376,732.50
  4. Step 4: Simplify right side
    190,767x = 141,927,376,556.25
  5. Step 5: Solve for x
    x = 141,927,376,556.25/190,767
  6. Step 6: Final answer
    x = 743,982.85

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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.