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Finding the Third Proportional to 170,976 and 373,416

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Solution

The third proportional to 170,976 and 373,416 is: 815,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,976 : 373,416 = 373,416 : x
  2. Step 2: Convert to fraction form
    170,976/373,416 = 373,416/x
  3. Step 3: Cross multiply
    170,976x = 373,416 × 373,416
  4. Step 4: Simplify right side
    170,976x = 139,439,509,056
  5. Step 5: Solve for x
    x = 139,439,509,056/170,976
  6. Step 6: Final answer
    x = 815,550.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.