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Finding the Third Proportional to 167,286 and 342,726

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Solution

The third proportional to 167,286 and 342,726 is: 702,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,286 : 342,726 = 342,726 : x
  2. Step 2: Convert to fraction form
    167,286/342,726 = 342,726/x
  3. Step 3: Cross multiply
    167,286x = 342,726 × 342,726
  4. Step 4: Simplify right side
    167,286x = 117,461,111,076
  5. Step 5: Solve for x
    x = 117,461,111,076/167,286
  6. Step 6: Final answer
    x = 702,157.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.