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Finding the Third Proportional to 174,903 and 270,085

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Solution

The third proportional to 174,903 and 270,085 is: 417,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,903 : 270,085 = 270,085 : x
  2. Step 2: Convert to fraction form
    174,903/270,085 = 270,085/x
  3. Step 3: Cross multiply
    174,903x = 270,085 × 270,085
  4. Step 4: Simplify right side
    174,903x = 72,945,907,225
  5. Step 5: Solve for x
    x = 72,945,907,225/174,903
  6. Step 6: Final answer
    x = 417,064.93

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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.