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Finding the Third Proportional to 173,178 and 260,275

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Solution

The third proportional to 173,178 and 260,275 is: 391,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,178 : 260,275 = 260,275 : x
  2. Step 2: Convert to fraction form
    173,178/260,275 = 260,275/x
  3. Step 3: Cross multiply
    173,178x = 260,275 × 260,275
  4. Step 4: Simplify right side
    173,178x = 67,743,075,625
  5. Step 5: Solve for x
    x = 67,743,075,625/173,178
  6. Step 6: Final answer
    x = 391,175.99

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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.