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Finding the Third Proportional to 164,149 and 352,820

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Solution

The third proportional to 164,149 and 352,820 is: 758,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,149 : 352,820 = 352,820 : x
  2. Step 2: Convert to fraction form
    164,149/352,820 = 352,820/x
  3. Step 3: Cross multiply
    164,149x = 352,820 × 352,820
  4. Step 4: Simplify right side
    164,149x = 124,481,952,400
  5. Step 5: Solve for x
    x = 124,481,952,400/164,149
  6. Step 6: Final answer
    x = 758,347.31

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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.