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Finding the Third Proportional to 155,698 and 209,211

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Solution

The third proportional to 155,698 and 209,211 is: 281,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,698 : 209,211 = 209,211 : x
  2. Step 2: Convert to fraction form
    155,698/209,211 = 209,211/x
  3. Step 3: Cross multiply
    155,698x = 209,211 × 209,211
  4. Step 4: Simplify right side
    155,698x = 43,769,242,521
  5. Step 5: Solve for x
    x = 43,769,242,521/155,698
  6. Step 6: Final answer
    x = 281,116.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.