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Finding the Third Proportional to 147,951 and 323,878

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Solution

The third proportional to 147,951 and 323,878 is: 708,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,951 : 323,878 = 323,878 : x
  2. Step 2: Convert to fraction form
    147,951/323,878 = 323,878/x
  3. Step 3: Cross multiply
    147,951x = 323,878 × 323,878
  4. Step 4: Simplify right side
    147,951x = 104,896,958,884
  5. Step 5: Solve for x
    x = 104,896,958,884/147,951
  6. Step 6: Final answer
    x = 708,997.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.