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Finding the Third Proportional to 134,048 and 294,663

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Solution

The third proportional to 134,048 and 294,663 is: 647,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,048 : 294,663 = 294,663 : x
  2. Step 2: Convert to fraction form
    134,048/294,663 = 294,663/x
  3. Step 3: Cross multiply
    134,048x = 294,663 × 294,663
  4. Step 4: Simplify right side
    134,048x = 86,826,283,569
  5. Step 5: Solve for x
    x = 86,826,283,569/134,048
  6. Step 6: Final answer
    x = 647,725.32

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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.