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Finding the Third Proportional to 164,022 and 352,770

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Solution

The third proportional to 164,022 and 352,770 is: 758,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,022 : 352,770 = 352,770 : x
  2. Step 2: Convert to fraction form
    164,022/352,770 = 352,770/x
  3. Step 3: Cross multiply
    164,022x = 352,770 × 352,770
  4. Step 4: Simplify right side
    164,022x = 124,446,672,900
  5. Step 5: Solve for x
    x = 124,446,672,900/164,022
  6. Step 6: Final answer
    x = 758,719.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.