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Finding the Third Proportional to 117,324 and 192,606

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Solution

The third proportional to 117,324 and 192,606 is: 316,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,324 : 192,606 = 192,606 : x
  2. Step 2: Convert to fraction form
    117,324/192,606 = 192,606/x
  3. Step 3: Cross multiply
    117,324x = 192,606 × 192,606
  4. Step 4: Simplify right side
    117,324x = 37,097,071,236
  5. Step 5: Solve for x
    x = 37,097,071,236/117,324
  6. Step 6: Final answer
    x = 316,193.37

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.