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Finding the Third Proportional to 118,557.42 and 180,790.31

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Solution

The third proportional to 118,557.42 and 180,790.31 is: 275,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,557.42 : 180,790.31 = 180,790.31 : x
  2. Step 2: Convert to fraction form
    118,557.42/180,790.31 = 180,790.31/x
  3. Step 3: Cross multiply
    118,557.42x = 180,790.31 × 180,790.31
  4. Step 4: Simplify right side
    118,557.42x = 32,685,137,093.85
  5. Step 5: Solve for x
    x = 32,685,137,093.85/118,557.42
  6. Step 6: Final answer
    x = 275,690.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.