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Finding the Third Proportional to 138,732 and 294,744

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Solution

The third proportional to 138,732 and 294,744 is: 626,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,732 : 294,744 = 294,744 : x
  2. Step 2: Convert to fraction form
    138,732/294,744 = 294,744/x
  3. Step 3: Cross multiply
    138,732x = 294,744 × 294,744
  4. Step 4: Simplify right side
    138,732x = 86,874,025,536
  5. Step 5: Solve for x
    x = 86,874,025,536/138,732
  6. Step 6: Final answer
    x = 626,200.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.