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Finding the Third Proportional to 158,296 and 341,168

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Solution

The third proportional to 158,296 and 341,168 is: 735,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,296 : 341,168 = 341,168 : x
  2. Step 2: Convert to fraction form
    158,296/341,168 = 341,168/x
  3. Step 3: Cross multiply
    158,296x = 341,168 × 341,168
  4. Step 4: Simplify right side
    158,296x = 116,395,604,224
  5. Step 5: Solve for x
    x = 116,395,604,224/158,296
  6. Step 6: Final answer
    x = 735,303.51

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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.