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Finding the Third Proportional to 173,184 and 373,120

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Solution

The third proportional to 173,184 and 373,120 is: 803,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,184 : 373,120 = 373,120 : x
  2. Step 2: Convert to fraction form
    173,184/373,120 = 373,120/x
  3. Step 3: Cross multiply
    173,184x = 373,120 × 373,120
  4. Step 4: Simplify right side
    173,184x = 139,218,534,400
  5. Step 5: Solve for x
    x = 139,218,534,400/173,184
  6. Step 6: Final answer
    x = 803,876.42

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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.