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Finding the Third Proportional to 163,824 and 359,769

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Solution

The third proportional to 163,824 and 359,769 is: 790,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,824 : 359,769 = 359,769 : x
  2. Step 2: Convert to fraction form
    163,824/359,769 = 359,769/x
  3. Step 3: Cross multiply
    163,824x = 359,769 × 359,769
  4. Step 4: Simplify right side
    163,824x = 129,433,733,361
  5. Step 5: Solve for x
    x = 129,433,733,361/163,824
  6. Step 6: Final answer
    x = 790,077.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.