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Finding the Third Proportional to 155,268 and 234,378

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Solution

The third proportional to 155,268 and 234,378 is: 353,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,268 : 234,378 = 234,378 : x
  2. Step 2: Convert to fraction form
    155,268/234,378 = 234,378/x
  3. Step 3: Cross multiply
    155,268x = 234,378 × 234,378
  4. Step 4: Simplify right side
    155,268x = 54,933,046,884
  5. Step 5: Solve for x
    x = 54,933,046,884/155,268
  6. Step 6: Final answer
    x = 353,795.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.