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Finding the Third Proportional to 123,243 and 190,299

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Solution

The third proportional to 123,243 and 190,299 is: 293,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,243 : 190,299 = 190,299 : x
  2. Step 2: Convert to fraction form
    123,243/190,299 = 190,299/x
  3. Step 3: Cross multiply
    123,243x = 190,299 × 190,299
  4. Step 4: Simplify right side
    123,243x = 36,213,709,401
  5. Step 5: Solve for x
    x = 36,213,709,401/123,243
  6. Step 6: Final answer
    x = 293,839.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.