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Finding the Third Proportional to 137,271 and 300,786

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Solution

The third proportional to 137,271 and 300,786 is: 659,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,271 : 300,786 = 300,786 : x
  2. Step 2: Convert to fraction form
    137,271/300,786 = 300,786/x
  3. Step 3: Cross multiply
    137,271x = 300,786 × 300,786
  4. Step 4: Simplify right side
    137,271x = 90,472,217,796
  5. Step 5: Solve for x
    x = 90,472,217,796/137,271
  6. Step 6: Final answer
    x = 659,077.43

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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.