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Finding the Third Proportional to 238,943 and 372,932

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Solution

The third proportional to 238,943 and 372,932 is: 582,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,943 : 372,932 = 372,932 : x
  2. Step 2: Convert to fraction form
    238,943/372,932 = 372,932/x
  3. Step 3: Cross multiply
    238,943x = 372,932 × 372,932
  4. Step 4: Simplify right side
    238,943x = 139,078,276,624
  5. Step 5: Solve for x
    x = 139,078,276,624/238,943
  6. Step 6: Final answer
    x = 582,056.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.