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Finding the Third Proportional to 190,942 and 397,572

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Solution

The third proportional to 190,942 and 397,572 is: 827,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,942 : 397,572 = 397,572 : x
  2. Step 2: Convert to fraction form
    190,942/397,572 = 397,572/x
  3. Step 3: Cross multiply
    190,942x = 397,572 × 397,572
  4. Step 4: Simplify right side
    190,942x = 158,063,495,184
  5. Step 5: Solve for x
    x = 158,063,495,184/190,942
  6. Step 6: Final answer
    x = 827,808.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.