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Finding the Third Proportional to 158,202 and 341,268

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Solution

The third proportional to 158,202 and 341,268 is: 736,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,202 : 341,268 = 341,268 : x
  2. Step 2: Convert to fraction form
    158,202/341,268 = 341,268/x
  3. Step 3: Cross multiply
    158,202x = 341,268 × 341,268
  4. Step 4: Simplify right side
    158,202x = 116,463,847,824
  5. Step 5: Solve for x
    x = 116,463,847,824/158,202
  6. Step 6: Final answer
    x = 736,171.78

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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.