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Finding the Third Proportional to 173,670 and 378,444

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Solution

The third proportional to 173,670 and 378,444 is: 824,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,670 : 378,444 = 378,444 : x
  2. Step 2: Convert to fraction form
    173,670/378,444 = 378,444/x
  3. Step 3: Cross multiply
    173,670x = 378,444 × 378,444
  4. Step 4: Simplify right side
    173,670x = 143,219,861,136
  5. Step 5: Solve for x
    x = 143,219,861,136/173,670
  6. Step 6: Final answer
    x = 824,666.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.