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Finding the Third Proportional to 161,059 and 363,875

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Solution

The third proportional to 161,059 and 363,875 is: 822,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,059 : 363,875 = 363,875 : x
  2. Step 2: Convert to fraction form
    161,059/363,875 = 363,875/x
  3. Step 3: Cross multiply
    161,059x = 363,875 × 363,875
  4. Step 4: Simplify right side
    161,059x = 132,405,015,625
  5. Step 5: Solve for x
    x = 132,405,015,625/161,059
  6. Step 6: Final answer
    x = 822,090.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.