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Finding the Third Proportional to 164,159 and 353,647

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Solution

The third proportional to 164,159 and 353,647 is: 761,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,159 : 353,647 = 353,647 : x
  2. Step 2: Convert to fraction form
    164,159/353,647 = 353,647/x
  3. Step 3: Cross multiply
    164,159x = 353,647 × 353,647
  4. Step 4: Simplify right side
    164,159x = 125,066,200,609
  5. Step 5: Solve for x
    x = 125,066,200,609/164,159
  6. Step 6: Final answer
    x = 761,860.15

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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.