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Finding the Third Proportional to 131,706 and 209,223

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Solution

The third proportional to 131,706 and 209,223 is: 332,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,706 : 209,223 = 209,223 : x
  2. Step 2: Convert to fraction form
    131,706/209,223 = 209,223/x
  3. Step 3: Cross multiply
    131,706x = 209,223 × 209,223
  4. Step 4: Simplify right side
    131,706x = 43,774,263,729
  5. Step 5: Solve for x
    x = 43,774,263,729/131,706
  6. Step 6: Final answer
    x = 332,363.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.