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Finding the Third Proportional to 164,150 and 353,416

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Solution

The third proportional to 164,150 and 353,416 is: 760,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,150 : 353,416 = 353,416 : x
  2. Step 2: Convert to fraction form
    164,150/353,416 = 353,416/x
  3. Step 3: Cross multiply
    164,150x = 353,416 × 353,416
  4. Step 4: Simplify right side
    164,150x = 124,902,869,056
  5. Step 5: Solve for x
    x = 124,902,869,056/164,150
  6. Step 6: Final answer
    x = 760,906.91

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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.