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Finding the Third Proportional to 164,711 and 355,504

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Solution

The third proportional to 164,711 and 355,504 is: 767,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,711 : 355,504 = 355,504 : x
  2. Step 2: Convert to fraction form
    164,711/355,504 = 355,504/x
  3. Step 3: Cross multiply
    164,711x = 355,504 × 355,504
  4. Step 4: Simplify right side
    164,711x = 126,383,094,016
  5. Step 5: Solve for x
    x = 126,383,094,016/164,711
  6. Step 6: Final answer
    x = 767,302.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.