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Finding the Third Proportional to 238,100 and 323,364

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Solution

The third proportional to 238,100 and 323,364 is: 439,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,100 : 323,364 = 323,364 : x
  2. Step 2: Convert to fraction form
    238,100/323,364 = 323,364/x
  3. Step 3: Cross multiply
    238,100x = 323,364 × 323,364
  4. Step 4: Simplify right side
    238,100x = 104,564,276,496
  5. Step 5: Solve for x
    x = 104,564,276,496/238,100
  6. Step 6: Final answer
    x = 439,161.18

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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.