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Finding the Third Proportional to 170,727.75 and 373,977.84

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Solution

The third proportional to 170,727.75 and 373,977.84 is: 819,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,727.75 : 373,977.84 = 373,977.84 : x
  2. Step 2: Convert to fraction form
    170,727.75/373,977.84 = 373,977.84/x
  3. Step 3: Cross multiply
    170,727.75x = 373,977.84 × 373,977.84
  4. Step 4: Simplify right side
    170,727.75x = 139,859,427,615.90
  5. Step 5: Solve for x
    x = 139,859,427,615.90/170,727.75
  6. Step 6: Final answer
    x = 819,195.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.