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Finding the Third Proportional to 164,504 and 357,195

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Solution

The third proportional to 164,504 and 357,195 is: 775,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,504 : 357,195 = 357,195 : x
  2. Step 2: Convert to fraction form
    164,504/357,195 = 357,195/x
  3. Step 3: Cross multiply
    164,504x = 357,195 × 357,195
  4. Step 4: Simplify right side
    164,504x = 127,588,268,025
  5. Step 5: Solve for x
    x = 127,588,268,025/164,504
  6. Step 6: Final answer
    x = 775,593.71

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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.