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Finding the Third Proportional to 150,056 and 323,224

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Solution

The third proportional to 150,056 and 323,224 is: 696,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,056 : 323,224 = 323,224 : x
  2. Step 2: Convert to fraction form
    150,056/323,224 = 323,224/x
  3. Step 3: Cross multiply
    150,056x = 323,224 × 323,224
  4. Step 4: Simplify right side
    150,056x = 104,473,754,176
  5. Step 5: Solve for x
    x = 104,473,754,176/150,056
  6. Step 6: Final answer
    x = 696,231.77

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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.