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Finding the Third Proportional to 170,235 and 373,531

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Solution

The third proportional to 170,235 and 373,531 is: 819,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,235 : 373,531 = 373,531 : x
  2. Step 2: Convert to fraction form
    170,235/373,531 = 373,531/x
  3. Step 3: Cross multiply
    170,235x = 373,531 × 373,531
  4. Step 4: Simplify right side
    170,235x = 139,525,407,961
  5. Step 5: Solve for x
    x = 139,525,407,961/170,235
  6. Step 6: Final answer
    x = 819,604.71

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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.