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Finding the Third Proportional to 208,125 and 457,164

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Solution

The third proportional to 208,125 and 457,164 is: 1,004,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,125 : 457,164 = 457,164 : x
  2. Step 2: Convert to fraction form
    208,125/457,164 = 457,164/x
  3. Step 3: Cross multiply
    208,125x = 457,164 × 457,164
  4. Step 4: Simplify right side
    208,125x = 208,998,922,896
  5. Step 5: Solve for x
    x = 208,998,922,896/208,125
  6. Step 6: Final answer
    x = 1,004,199.03

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Why These Related Problems?

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