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Finding the Third Proportional to 190,043 and 412,942

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Solution

The third proportional to 190,043 and 412,942 is: 897,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,043 : 412,942 = 412,942 : x
  2. Step 2: Convert to fraction form
    190,043/412,942 = 412,942/x
  3. Step 3: Cross multiply
    190,043x = 412,942 × 412,942
  4. Step 4: Simplify right side
    190,043x = 170,521,095,364
  5. Step 5: Solve for x
    x = 170,521,095,364/190,043
  6. Step 6: Final answer
    x = 897,276.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.