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Finding the Third Proportional to 167,290 and 342,733

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Solution

The third proportional to 167,290 and 342,733 is: 702,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,290 : 342,733 = 342,733 : x
  2. Step 2: Convert to fraction form
    167,290/342,733 = 342,733/x
  3. Step 3: Cross multiply
    167,290x = 342,733 × 342,733
  4. Step 4: Simplify right side
    167,290x = 117,465,909,289
  5. Step 5: Solve for x
    x = 117,465,909,289/167,290
  6. Step 6: Final answer
    x = 702,169.34

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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.