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Finding the Third Proportional to 169,824 and 359,880

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Solution

The third proportional to 169,824 and 359,880 is: 762,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824 : 359,880 = 359,880 : x
  2. Step 2: Convert to fraction form
    169,824/359,880 = 359,880/x
  3. Step 3: Cross multiply
    169,824x = 359,880 × 359,880
  4. Step 4: Simplify right side
    169,824x = 129,513,614,400
  5. Step 5: Solve for x
    x = 129,513,614,400/169,824
  6. Step 6: Final answer
    x = 762,634.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.