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Finding the Third Proportional to 176,447 and 384,616

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Solution

The third proportional to 176,447 and 384,616 is: 838,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,447 : 384,616 = 384,616 : x
  2. Step 2: Convert to fraction form
    176,447/384,616 = 384,616/x
  3. Step 3: Cross multiply
    176,447x = 384,616 × 384,616
  4. Step 4: Simplify right side
    176,447x = 147,929,467,456
  5. Step 5: Solve for x
    x = 147,929,467,456/176,447
  6. Step 6: Final answer
    x = 838,379.05

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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.