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Finding the Third Proportional to 194,857.50 and 310,296

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Solution

The third proportional to 194,857.50 and 310,296 is: 494,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,857.50 : 310,296 = 310,296 : x
  2. Step 2: Convert to fraction form
    194,857.50/310,296 = 310,296/x
  3. Step 3: Cross multiply
    194,857.50x = 310,296 × 310,296
  4. Step 4: Simplify right side
    194,857.50x = 96,283,607,616
  5. Step 5: Solve for x
    x = 96,283,607,616/194,857.50
  6. Step 6: Final answer
    x = 494,123.18

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