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Finding the Third Proportional to 194,808 and 311,212.50

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Solution

The third proportional to 194,808 and 311,212.50 is: 497,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,808 : 311,212.50 = 311,212.50 : x
  2. Step 2: Convert to fraction form
    194,808/311,212.50 = 311,212.50/x
  3. Step 3: Cross multiply
    194,808x = 311,212.50 × 311,212.50
  4. Step 4: Simplify right side
    194,808x = 96,853,220,156.25
  5. Step 5: Solve for x
    x = 96,853,220,156.25/194,808
  6. Step 6: Final answer
    x = 497,172.70

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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.