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Finding the Third Proportional to 228,016 and 350,988

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Solution

The third proportional to 228,016 and 350,988 is: 540,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,016 : 350,988 = 350,988 : x
  2. Step 2: Convert to fraction form
    228,016/350,988 = 350,988/x
  3. Step 3: Cross multiply
    228,016x = 350,988 × 350,988
  4. Step 4: Simplify right side
    228,016x = 123,192,576,144
  5. Step 5: Solve for x
    x = 123,192,576,144/228,016
  6. Step 6: Final answer
    x = 540,280.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.