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Finding the Third Proportional to 167,616 and 364,752

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Solution

The third proportional to 167,616 and 364,752 is: 793,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,616 : 364,752 = 364,752 : x
  2. Step 2: Convert to fraction form
    167,616/364,752 = 364,752/x
  3. Step 3: Cross multiply
    167,616x = 364,752 × 364,752
  4. Step 4: Simplify right side
    167,616x = 133,044,021,504
  5. Step 5: Solve for x
    x = 133,044,021,504/167,616
  6. Step 6: Final answer
    x = 793,742.97

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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.