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Finding the Third Proportional to 150,324 and 323,904

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Solution

The third proportional to 150,324 and 323,904 is: 697,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,324 : 323,904 = 323,904 : x
  2. Step 2: Convert to fraction form
    150,324/323,904 = 323,904/x
  3. Step 3: Cross multiply
    150,324x = 323,904 × 323,904
  4. Step 4: Simplify right side
    150,324x = 104,913,801,216
  5. Step 5: Solve for x
    x = 104,913,801,216/150,324
  6. Step 6: Final answer
    x = 697,917.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.