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Finding the Third Proportional to 170,056.50 and 373,647

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Solution

The third proportional to 170,056.50 and 373,647 is: 820,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,056.50 : 373,647 = 373,647 : x
  2. Step 2: Convert to fraction form
    170,056.50/373,647 = 373,647/x
  3. Step 3: Cross multiply
    170,056.50x = 373,647 × 373,647
  4. Step 4: Simplify right side
    170,056.50x = 139,612,080,609
  5. Step 5: Solve for x
    x = 139,612,080,609/170,056.50
  6. Step 6: Final answer
    x = 820,974.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.