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Finding the Third Proportional to 82,343 and 167,602

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Solution

The third proportional to 82,343 and 167,602 is: 341,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,343 : 167,602 = 167,602 : x
  2. Step 2: Convert to fraction form
    82,343/167,602 = 167,602/x
  3. Step 3: Cross multiply
    82,343x = 167,602 × 167,602
  4. Step 4: Simplify right side
    82,343x = 28,090,430,404
  5. Step 5: Solve for x
    x = 28,090,430,404/82,343
  6. Step 6: Final answer
    x = 341,139.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.