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Finding the Third Proportional to 130,016.75 and 283,961

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Solution

The third proportional to 130,016.75 and 283,961 is: 620,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,016.75 : 283,961 = 283,961 : x
  2. Step 2: Convert to fraction form
    130,016.75/283,961 = 283,961/x
  3. Step 3: Cross multiply
    130,016.75x = 283,961 × 283,961
  4. Step 4: Simplify right side
    130,016.75x = 80,633,849,521
  5. Step 5: Solve for x
    x = 80,633,849,521/130,016.75
  6. Step 6: Final answer
    x = 620,180.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.