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Finding the Third Proportional to 102,242 and 222,484

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Solution

The third proportional to 102,242 and 222,484 is: 484,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,242 : 222,484 = 222,484 : x
  2. Step 2: Convert to fraction form
    102,242/222,484 = 222,484/x
  3. Step 3: Cross multiply
    102,242x = 222,484 × 222,484
  4. Step 4: Simplify right side
    102,242x = 49,499,130,256
  5. Step 5: Solve for x
    x = 49,499,130,256/102,242
  6. Step 6: Final answer
    x = 484,136.95

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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.