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Finding the Third Proportional to 138,726 and 294,732

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Solution

The third proportional to 138,726 and 294,732 is: 626,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,726 : 294,732 = 294,732 : x
  2. Step 2: Convert to fraction form
    138,726/294,732 = 294,732/x
  3. Step 3: Cross multiply
    138,726x = 294,732 × 294,732
  4. Step 4: Simplify right side
    138,726x = 86,866,951,824
  5. Step 5: Solve for x
    x = 86,866,951,824/138,726
  6. Step 6: Final answer
    x = 626,176.43

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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.