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Finding the Third Proportional to 227,049 and 340,573.50

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Solution

The third proportional to 227,049 and 340,573.50 is: 510,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,049 : 340,573.50 = 340,573.50 : x
  2. Step 2: Convert to fraction form
    227,049/340,573.50 = 340,573.50/x
  3. Step 3: Cross multiply
    227,049x = 340,573.50 × 340,573.50
  4. Step 4: Simplify right side
    227,049x = 115,990,308,902.25
  5. Step 5: Solve for x
    x = 115,990,308,902.25/227,049
  6. Step 6: Final answer
    x = 510,860.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.