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Finding the Third Proportional to 208,164 and 457,800

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Solution

The third proportional to 208,164 and 457,800 is: 1,006,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,164 : 457,800 = 457,800 : x
  2. Step 2: Convert to fraction form
    208,164/457,800 = 457,800/x
  3. Step 3: Cross multiply
    208,164x = 457,800 × 457,800
  4. Step 4: Simplify right side
    208,164x = 209,580,840,000
  5. Step 5: Solve for x
    x = 209,580,840,000/208,164
  6. Step 6: Final answer
    x = 1,006,806.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.