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Finding the Third Proportional to 238,536 and 367,632

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Solution

The third proportional to 238,536 and 367,632 is: 566,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,536 : 367,632 = 367,632 : x
  2. Step 2: Convert to fraction form
    238,536/367,632 = 367,632/x
  3. Step 3: Cross multiply
    238,536x = 367,632 × 367,632
  4. Step 4: Simplify right side
    238,536x = 135,153,287,424
  5. Step 5: Solve for x
    x = 135,153,287,424/238,536
  6. Step 6: Final answer
    x = 566,594.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.