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Finding the Third Proportional to 102,224 and 216,598

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Solution

The third proportional to 102,224 and 216,598 is: 458,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224 : 216,598 = 216,598 : x
  2. Step 2: Convert to fraction form
    102,224/216,598 = 216,598/x
  3. Step 3: Cross multiply
    102,224x = 216,598 × 216,598
  4. Step 4: Simplify right side
    102,224x = 46,914,693,604
  5. Step 5: Solve for x
    x = 46,914,693,604/102,224
  6. Step 6: Final answer
    x = 458,940.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.