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Finding the Third Proportional to 176,609 and 264,219

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Solution

The third proportional to 176,609 and 264,219 is: 395,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,609 : 264,219 = 264,219 : x
  2. Step 2: Convert to fraction form
    176,609/264,219 = 264,219/x
  3. Step 3: Cross multiply
    176,609x = 264,219 × 264,219
  4. Step 4: Simplify right side
    176,609x = 69,811,679,961
  5. Step 5: Solve for x
    x = 69,811,679,961/176,609
  6. Step 6: Final answer
    x = 395,289.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.