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Finding the Third Proportional to 106,824 and 229,344

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Solution

The third proportional to 106,824 and 229,344 is: 492,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,824 : 229,344 = 229,344 : x
  2. Step 2: Convert to fraction form
    106,824/229,344 = 229,344/x
  3. Step 3: Cross multiply
    106,824x = 229,344 × 229,344
  4. Step 4: Simplify right side
    106,824x = 52,598,670,336
  5. Step 5: Solve for x
    x = 52,598,670,336/106,824
  6. Step 6: Final answer
    x = 492,386.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.