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Finding the Third Proportional to 164,130 and 355,908

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Solution

The third proportional to 164,130 and 355,908 is: 771,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,130 : 355,908 = 355,908 : x
  2. Step 2: Convert to fraction form
    164,130/355,908 = 355,908/x
  3. Step 3: Cross multiply
    164,130x = 355,908 × 355,908
  4. Step 4: Simplify right side
    164,130x = 126,670,504,464
  5. Step 5: Solve for x
    x = 126,670,504,464/164,130
  6. Step 6: Final answer
    x = 771,769.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.