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Finding the Third Proportional to 229,283 and 305,793

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Solution

The third proportional to 229,283 and 305,793 is: 407,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,283 : 305,793 = 305,793 : x
  2. Step 2: Convert to fraction form
    229,283/305,793 = 305,793/x
  3. Step 3: Cross multiply
    229,283x = 305,793 × 305,793
  4. Step 4: Simplify right side
    229,283x = 93,509,358,849
  5. Step 5: Solve for x
    x = 93,509,358,849/229,283
  6. Step 6: Final answer
    x = 407,833.81

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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.