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Finding the Third Proportional to 202,214 and 477,185

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Solution

The third proportional to 202,214 and 477,185 is: 1,126,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214 : 477,185 = 477,185 : x
  2. Step 2: Convert to fraction form
    202,214/477,185 = 477,185/x
  3. Step 3: Cross multiply
    202,214x = 477,185 × 477,185
  4. Step 4: Simplify right side
    202,214x = 227,705,524,225
  5. Step 5: Solve for x
    x = 227,705,524,225/202,214
  6. Step 6: Final answer
    x = 1,126,062.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.