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Finding the Third Proportional to 105,202 and 227,252

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Solution

The third proportional to 105,202 and 227,252 is: 490,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,202 : 227,252 = 227,252 : x
  2. Step 2: Convert to fraction form
    105,202/227,252 = 227,252/x
  3. Step 3: Cross multiply
    105,202x = 227,252 × 227,252
  4. Step 4: Simplify right side
    105,202x = 51,643,471,504
  5. Step 5: Solve for x
    x = 51,643,471,504/105,202
  6. Step 6: Final answer
    x = 490,898.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.