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Finding the Third Proportional to 173,606 and 265,529

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Solution

The third proportional to 173,606 and 265,529 is: 406,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,606 : 265,529 = 265,529 : x
  2. Step 2: Convert to fraction form
    173,606/265,529 = 265,529/x
  3. Step 3: Cross multiply
    173,606x = 265,529 × 265,529
  4. Step 4: Simplify right side
    173,606x = 70,505,649,841
  5. Step 5: Solve for x
    x = 70,505,649,841/173,606
  6. Step 6: Final answer
    x = 406,124.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.