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Finding the Third Proportional to 169,022 and 362,036

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Solution

The third proportional to 169,022 and 362,036 is: 775,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,022 : 362,036 = 362,036 : x
  2. Step 2: Convert to fraction form
    169,022/362,036 = 362,036/x
  3. Step 3: Cross multiply
    169,022x = 362,036 × 362,036
  4. Step 4: Simplify right side
    169,022x = 131,070,065,296
  5. Step 5: Solve for x
    x = 131,070,065,296/169,022
  6. Step 6: Final answer
    x = 775,461.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.