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Finding the Third Proportional to 173,184 and 359,976

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Solution

The third proportional to 173,184 and 359,976 is: 748,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,184 : 359,976 = 359,976 : x
  2. Step 2: Convert to fraction form
    173,184/359,976 = 359,976/x
  3. Step 3: Cross multiply
    173,184x = 359,976 × 359,976
  4. Step 4: Simplify right side
    173,184x = 129,582,720,576
  5. Step 5: Solve for x
    x = 129,582,720,576/173,184
  6. Step 6: Final answer
    x = 748,237.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.