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Finding the Third Proportional to 238,794 and 369,531

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Solution

The third proportional to 238,794 and 369,531 is: 571,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,794 : 369,531 = 369,531 : x
  2. Step 2: Convert to fraction form
    238,794/369,531 = 369,531/x
  3. Step 3: Cross multiply
    238,794x = 369,531 × 369,531
  4. Step 4: Simplify right side
    238,794x = 136,553,159,961
  5. Step 5: Solve for x
    x = 136,553,159,961/238,794
  6. Step 6: Final answer
    x = 571,845.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.