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Finding the Third Proportional to 173,846.25 and 366,684.47

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Solution

The third proportional to 173,846.25 and 366,684.47 is: 773,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,846.25 : 366,684.47 = 366,684.47 : x
  2. Step 2: Convert to fraction form
    173,846.25/366,684.47 = 366,684.47/x
  3. Step 3: Cross multiply
    173,846.25x = 366,684.47 × 366,684.47
  4. Step 4: Simplify right side
    173,846.25x = 134,457,499,622.47
  5. Step 5: Solve for x
    x = 134,457,499,622.47/173,846.25
  6. Step 6: Final answer
    x = 773,427.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.