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Finding the Third Proportional to 173,184 and 259,080

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Solution

The third proportional to 173,184 and 259,080 is: 387,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,184 : 259,080 = 259,080 : x
  2. Step 2: Convert to fraction form
    173,184/259,080 = 259,080/x
  3. Step 3: Cross multiply
    173,184x = 259,080 × 259,080
  4. Step 4: Simplify right side
    173,184x = 67,122,446,400
  5. Step 5: Solve for x
    x = 67,122,446,400/173,184
  6. Step 6: Final answer
    x = 387,578.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.