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Finding the Third Proportional to 229,954 and 343,519

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Solution

The third proportional to 229,954 and 343,519 is: 513,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,954 : 343,519 = 343,519 : x
  2. Step 2: Convert to fraction form
    229,954/343,519 = 343,519/x
  3. Step 3: Cross multiply
    229,954x = 343,519 × 343,519
  4. Step 4: Simplify right side
    229,954x = 118,005,303,361
  5. Step 5: Solve for x
    x = 118,005,303,361/229,954
  6. Step 6: Final answer
    x = 513,169.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.