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Finding the Third Proportional to 171,419.63 and 260,951.63

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Solution

The third proportional to 171,419.63 and 260,951.63 is: 397,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,419.63 : 260,951.63 = 260,951.63 : x
  2. Step 2: Convert to fraction form
    171,419.63/260,951.63 = 260,951.63/x
  3. Step 3: Cross multiply
    171,419.63x = 260,951.63 × 260,951.63
  4. Step 4: Simplify right side
    171,419.63x = 68,095,750,590.14
  5. Step 5: Solve for x
    x = 68,095,750,590.14/171,419.63
  6. Step 6: Final answer
    x = 397,245.94

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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.