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Finding the Third Proportional to 174,912 and 270,097

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Solution

The third proportional to 174,912 and 270,097 is: 417,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,912 : 270,097 = 270,097 : x
  2. Step 2: Convert to fraction form
    174,912/270,097 = 270,097/x
  3. Step 3: Cross multiply
    174,912x = 270,097 × 270,097
  4. Step 4: Simplify right side
    174,912x = 72,952,389,409
  5. Step 5: Solve for x
    x = 72,952,389,409/174,912
  6. Step 6: Final answer
    x = 417,080.53

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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.