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Finding the Third Proportional to 155,271.94 and 208,650.94

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Solution

The third proportional to 155,271.94 and 208,650.94 is: 280,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,271.94 : 208,650.94 = 208,650.94 : x
  2. Step 2: Convert to fraction form
    155,271.94/208,650.94 = 208,650.94/x
  3. Step 3: Cross multiply
    155,271.94x = 208,650.94 × 208,650.94
  4. Step 4: Simplify right side
    155,271.94x = 43,535,213,719.63
  5. Step 5: Solve for x
    x = 43,535,213,719.63/155,271.94
  6. Step 6: Final answer
    x = 280,380.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.