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Finding the Third Proportional to 161,007 and 353,886

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Solution

The third proportional to 161,007 and 353,886 is: 777,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,007 : 353,886 = 353,886 : x
  2. Step 2: Convert to fraction form
    161,007/353,886 = 353,886/x
  3. Step 3: Cross multiply
    161,007x = 353,886 × 353,886
  4. Step 4: Simplify right side
    161,007x = 125,235,300,996
  5. Step 5: Solve for x
    x = 125,235,300,996/161,007
  6. Step 6: Final answer
    x = 777,825.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.