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Finding the Third Proportional to 238,132 and 323,409

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Solution

The third proportional to 238,132 and 323,409 is: 439,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,132 : 323,409 = 323,409 : x
  2. Step 2: Convert to fraction form
    238,132/323,409 = 323,409/x
  3. Step 3: Cross multiply
    238,132x = 323,409 × 323,409
  4. Step 4: Simplify right side
    238,132x = 104,593,381,281
  5. Step 5: Solve for x
    x = 104,593,381,281/238,132
  6. Step 6: Final answer
    x = 439,224.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.