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Finding the Third Proportional to 229,586 and 361,986

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Solution

The third proportional to 229,586 and 361,986 is: 570,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,586 : 361,986 = 361,986 : x
  2. Step 2: Convert to fraction form
    229,586/361,986 = 361,986/x
  3. Step 3: Cross multiply
    229,586x = 361,986 × 361,986
  4. Step 4: Simplify right side
    229,586x = 131,033,864,196
  5. Step 5: Solve for x
    x = 131,033,864,196/229,586
  6. Step 6: Final answer
    x = 570,739.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.