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Finding the Third Proportional to 164,907 and 353,134

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Solution

The third proportional to 164,907 and 353,134 is: 756,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,907 : 353,134 = 353,134 : x
  2. Step 2: Convert to fraction form
    164,907/353,134 = 353,134/x
  3. Step 3: Cross multiply
    164,907x = 353,134 × 353,134
  4. Step 4: Simplify right side
    164,907x = 124,703,621,956
  5. Step 5: Solve for x
    x = 124,703,621,956/164,907
  6. Step 6: Final answer
    x = 756,205.75

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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.