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Finding the Third Proportional to 174,869 and 270,032

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Solution

The third proportional to 174,869 and 270,032 is: 416,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,869 : 270,032 = 270,032 : x
  2. Step 2: Convert to fraction form
    174,869/270,032 = 270,032/x
  3. Step 3: Cross multiply
    174,869x = 270,032 × 270,032
  4. Step 4: Simplify right side
    174,869x = 72,917,281,024
  5. Step 5: Solve for x
    x = 72,917,281,024/174,869
  6. Step 6: Final answer
    x = 416,982.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.