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Finding the Third Proportional to 170,146 and 261,167

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Solution

The third proportional to 170,146 and 261,167 is: 400,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,146 : 261,167 = 261,167 : x
  2. Step 2: Convert to fraction form
    170,146/261,167 = 261,167/x
  3. Step 3: Cross multiply
    170,146x = 261,167 × 261,167
  4. Step 4: Simplify right side
    170,146x = 68,208,201,889
  5. Step 5: Solve for x
    x = 68,208,201,889/170,146
  6. Step 6: Final answer
    x = 400,880.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.