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Finding the Third Proportional to 202,318 and 440,293

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Solution

The third proportional to 202,318 and 440,293 is: 958,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,318 : 440,293 = 440,293 : x
  2. Step 2: Convert to fraction form
    202,318/440,293 = 440,293/x
  3. Step 3: Cross multiply
    202,318x = 440,293 × 440,293
  4. Step 4: Simplify right side
    202,318x = 193,857,925,849
  5. Step 5: Solve for x
    x = 193,857,925,849/202,318
  6. Step 6: Final answer
    x = 958,184.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.