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Finding the Third Proportional to 231,864 and 368,548

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Solution

The third proportional to 231,864 and 368,548 is: 585,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,864 : 368,548 = 368,548 : x
  2. Step 2: Convert to fraction form
    231,864/368,548 = 368,548/x
  3. Step 3: Cross multiply
    231,864x = 368,548 × 368,548
  4. Step 4: Simplify right side
    231,864x = 135,827,628,304
  5. Step 5: Solve for x
    x = 135,827,628,304/231,864
  6. Step 6: Final answer
    x = 585,807.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.