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Finding the Third Proportional to 194,815.13 and 311,215.50

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Solution

The third proportional to 194,815.13 and 311,215.50 is: 497,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,815.13 : 311,215.50 = 311,215.50 : x
  2. Step 2: Convert to fraction form
    194,815.13/311,215.50 = 311,215.50/x
  3. Step 3: Cross multiply
    194,815.13x = 311,215.50 × 311,215.50
  4. Step 4: Simplify right side
    194,815.13x = 96,855,087,440.25
  5. Step 5: Solve for x
    x = 96,855,087,440.25/194,815.13
  6. Step 6: Final answer
    x = 497,164.11

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.