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Finding the Third Proportional to 243,105 and 368,016

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Solution

The third proportional to 243,105 and 368,016 is: 557,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,105 : 368,016 = 368,016 : x
  2. Step 2: Convert to fraction form
    243,105/368,016 = 368,016/x
  3. Step 3: Cross multiply
    243,105x = 368,016 × 368,016
  4. Step 4: Simplify right side
    243,105x = 135,435,776,256
  5. Step 5: Solve for x
    x = 135,435,776,256/243,105
  6. Step 6: Final answer
    x = 557,108.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.