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Finding the Third Proportional to 173,031 and 370,668

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Solution

The third proportional to 173,031 and 370,668 is: 794,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,031 : 370,668 = 370,668 : x
  2. Step 2: Convert to fraction form
    173,031/370,668 = 370,668/x
  3. Step 3: Cross multiply
    173,031x = 370,668 × 370,668
  4. Step 4: Simplify right side
    173,031x = 137,394,766,224
  5. Step 5: Solve for x
    x = 137,394,766,224/173,031
  6. Step 6: Final answer
    x = 794,047.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.