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Finding the Third Proportional to 180,288 and 338,016

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Solution

The third proportional to 180,288 and 338,016 is: 633,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,288 : 338,016 = 338,016 : x
  2. Step 2: Convert to fraction form
    180,288/338,016 = 338,016/x
  3. Step 3: Cross multiply
    180,288x = 338,016 × 338,016
  4. Step 4: Simplify right side
    180,288x = 114,254,816,256
  5. Step 5: Solve for x
    x = 114,254,816,256/180,288
  6. Step 6: Final answer
    x = 633,735.00

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.