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Finding the Third Proportional to 180,648 and 254,168

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Solution

The third proportional to 180,648 and 254,168 is: 357,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,648 : 254,168 = 254,168 : x
  2. Step 2: Convert to fraction form
    180,648/254,168 = 254,168/x
  3. Step 3: Cross multiply
    180,648x = 254,168 × 254,168
  4. Step 4: Simplify right side
    180,648x = 64,601,372,224
  5. Step 5: Solve for x
    x = 64,601,372,224/180,648
  6. Step 6: Final answer
    x = 357,609.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.