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Finding the Third Proportional to 133,824 and 294,263

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Solution

The third proportional to 133,824 and 294,263 is: 647,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824 : 294,263 = 294,263 : x
  2. Step 2: Convert to fraction form
    133,824/294,263 = 294,263/x
  3. Step 3: Cross multiply
    133,824x = 294,263 × 294,263
  4. Step 4: Simplify right side
    133,824x = 86,590,713,169
  5. Step 5: Solve for x
    x = 86,590,713,169/133,824
  6. Step 6: Final answer
    x = 647,049.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.