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Finding the Third Proportional to 143,008 and 305,006

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Solution

The third proportional to 143,008 and 305,006 is: 650,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,008 : 305,006 = 305,006 : x
  2. Step 2: Convert to fraction form
    143,008/305,006 = 305,006/x
  3. Step 3: Cross multiply
    143,008x = 305,006 × 305,006
  4. Step 4: Simplify right side
    143,008x = 93,028,660,036
  5. Step 5: Solve for x
    x = 93,028,660,036/143,008
  6. Step 6: Final answer
    x = 650,513.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.