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Finding the Third Proportional to 233,615 and 365,994

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Solution

The third proportional to 233,615 and 365,994 is: 573,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,615 : 365,994 = 365,994 : x
  2. Step 2: Convert to fraction form
    233,615/365,994 = 365,994/x
  3. Step 3: Cross multiply
    233,615x = 365,994 × 365,994
  4. Step 4: Simplify right side
    233,615x = 133,951,608,036
  5. Step 5: Solve for x
    x = 133,951,608,036/233,615
  6. Step 6: Final answer
    x = 573,386.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.