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Finding the Third Proportional to 194,863.50 and 310,302

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Solution

The third proportional to 194,863.50 and 310,302 is: 494,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,863.50 : 310,302 = 310,302 : x
  2. Step 2: Convert to fraction form
    194,863.50/310,302 = 310,302/x
  3. Step 3: Cross multiply
    194,863.50x = 310,302 × 310,302
  4. Step 4: Simplify right side
    194,863.50x = 96,287,331,204
  5. Step 5: Solve for x
    x = 96,287,331,204/194,863.50
  6. Step 6: Final answer
    x = 494,127.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.