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Finding the Third Proportional to 238,180 and 368,634

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Solution

The third proportional to 238,180 and 368,634 is: 570,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,180 : 368,634 = 368,634 : x
  2. Step 2: Convert to fraction form
    238,180/368,634 = 368,634/x
  3. Step 3: Cross multiply
    238,180x = 368,634 × 368,634
  4. Step 4: Simplify right side
    238,180x = 135,891,025,956
  5. Step 5: Solve for x
    x = 135,891,025,956/238,180
  6. Step 6: Final answer
    x = 570,539.20

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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.