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Finding the Third Proportional to 180,954 and 237,954

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Solution

The third proportional to 180,954 and 237,954 is: 312,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,954 : 237,954 = 237,954 : x
  2. Step 2: Convert to fraction form
    180,954/237,954 = 237,954/x
  3. Step 3: Cross multiply
    180,954x = 237,954 × 237,954
  4. Step 4: Simplify right side
    180,954x = 56,622,106,116
  5. Step 5: Solve for x
    x = 56,622,106,116/180,954
  6. Step 6: Final answer
    x = 312,908.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.