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Finding the Third Proportional to 229,284 and 305,794.50

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Solution

The third proportional to 229,284 and 305,794.50 is: 407,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,284 : 305,794.50 = 305,794.50 : x
  2. Step 2: Convert to fraction form
    229,284/305,794.50 = 305,794.50/x
  3. Step 3: Cross multiply
    229,284x = 305,794.50 × 305,794.50
  4. Step 4: Simplify right side
    229,284x = 93,510,276,230.25
  5. Step 5: Solve for x
    x = 93,510,276,230.25/229,284
  6. Step 6: Final answer
    x = 407,836.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.