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Finding the Third Proportional to 230,869 and 368,822

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Solution

The third proportional to 230,869 and 368,822 is: 589,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,869 : 368,822 = 368,822 : x
  2. Step 2: Convert to fraction form
    230,869/368,822 = 368,822/x
  3. Step 3: Cross multiply
    230,869x = 368,822 × 368,822
  4. Step 4: Simplify right side
    230,869x = 136,029,667,684
  5. Step 5: Solve for x
    x = 136,029,667,684/230,869
  6. Step 6: Final answer
    x = 589,207.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.