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Finding the Third Proportional to 223,463 and 314,824

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Solution

The third proportional to 223,463 and 314,824 is: 443,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,463 : 314,824 = 314,824 : x
  2. Step 2: Convert to fraction form
    223,463/314,824 = 314,824/x
  3. Step 3: Cross multiply
    223,463x = 314,824 × 314,824
  4. Step 4: Simplify right side
    223,463x = 99,114,150,976
  5. Step 5: Solve for x
    x = 99,114,150,976/223,463
  6. Step 6: Final answer
    x = 443,537.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.