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Finding the Third Proportional to 202,214 and 440,283

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Solution

The third proportional to 202,214 and 440,283 is: 958,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214 : 440,283 = 440,283 : x
  2. Step 2: Convert to fraction form
    202,214/440,283 = 440,283/x
  3. Step 3: Cross multiply
    202,214x = 440,283 × 440,283
  4. Step 4: Simplify right side
    202,214x = 193,849,120,089
  5. Step 5: Solve for x
    x = 193,849,120,089/202,214
  6. Step 6: Final answer
    x = 958,633.53

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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.