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Finding the Third Proportional to 170,340 and 373,728

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Solution

The third proportional to 170,340 and 373,728 is: 819,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,340 : 373,728 = 373,728 : x
  2. Step 2: Convert to fraction form
    170,340/373,728 = 373,728/x
  3. Step 3: Cross multiply
    170,340x = 373,728 × 373,728
  4. Step 4: Simplify right side
    170,340x = 139,672,617,984
  5. Step 5: Solve for x
    x = 139,672,617,984/170,340
  6. Step 6: Final answer
    x = 819,963.71

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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.