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Finding the Third Proportional to 137,295 and 300,831

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Solution

The third proportional to 137,295 and 300,831 is: 659,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,295 : 300,831 = 300,831 : x
  2. Step 2: Convert to fraction form
    137,295/300,831 = 300,831/x
  3. Step 3: Cross multiply
    137,295x = 300,831 × 300,831
  4. Step 4: Simplify right side
    137,295x = 90,499,290,561
  5. Step 5: Solve for x
    x = 90,499,290,561/137,295
  6. Step 6: Final answer
    x = 659,159.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.