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Finding the Third Proportional to 161,644 and 333,242

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Solution

The third proportional to 161,644 and 333,242 is: 687,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,644 : 333,242 = 333,242 : x
  2. Step 2: Convert to fraction form
    161,644/333,242 = 333,242/x
  3. Step 3: Cross multiply
    161,644x = 333,242 × 333,242
  4. Step 4: Simplify right side
    161,644x = 111,050,230,564
  5. Step 5: Solve for x
    x = 111,050,230,564/161,644
  6. Step 6: Final answer
    x = 687,004.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.