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Finding the Third Proportional to 164,035 and 341,159

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Solution

The third proportional to 164,035 and 341,159 is: 709,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,035 : 341,159 = 341,159 : x
  2. Step 2: Convert to fraction form
    164,035/341,159 = 341,159/x
  3. Step 3: Cross multiply
    164,035x = 341,159 × 341,159
  4. Step 4: Simplify right side
    164,035x = 116,389,463,281
  5. Step 5: Solve for x
    x = 116,389,463,281/164,035
  6. Step 6: Final answer
    x = 709,540.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.