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Finding the Third Proportional to 173,008 and 368,328

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Solution

The third proportional to 173,008 and 368,328 is: 784,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,008 : 368,328 = 368,328 : x
  2. Step 2: Convert to fraction form
    173,008/368,328 = 368,328/x
  3. Step 3: Cross multiply
    173,008x = 368,328 × 368,328
  4. Step 4: Simplify right side
    173,008x = 135,665,515,584
  5. Step 5: Solve for x
    x = 135,665,515,584/173,008
  6. Step 6: Final answer
    x = 784,157.47

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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.