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Finding the Third Proportional to 208,358.25 and 311,164.88

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Solution

The third proportional to 208,358.25 and 311,164.88 is: 464,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,358.25 : 311,164.88 = 311,164.88 : x
  2. Step 2: Convert to fraction form
    208,358.25/311,164.88 = 311,164.88/x
  3. Step 3: Cross multiply
    208,358.25x = 311,164.88 × 311,164.88
  4. Step 4: Simplify right side
    208,358.25x = 96,823,579,433.77
  5. Step 5: Solve for x
    x = 96,823,579,433.77/208,358.25
  6. Step 6: Final answer
    x = 464,697.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.