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Finding the Third Proportional to 169,770 and 262,036

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Solution

The third proportional to 169,770 and 262,036 is: 404,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,770 : 262,036 = 262,036 : x
  2. Step 2: Convert to fraction form
    169,770/262,036 = 262,036/x
  3. Step 3: Cross multiply
    169,770x = 262,036 × 262,036
  4. Step 4: Simplify right side
    169,770x = 68,662,865,296
  5. Step 5: Solve for x
    x = 68,662,865,296/169,770
  6. Step 6: Final answer
    x = 404,446.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.