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Finding the Third Proportional to 102,300 and 223,185

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Solution

The third proportional to 102,300 and 223,185 is: 486,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,300 : 223,185 = 223,185 : x
  2. Step 2: Convert to fraction form
    102,300/223,185 = 223,185/x
  3. Step 3: Cross multiply
    102,300x = 223,185 × 223,185
  4. Step 4: Simplify right side
    102,300x = 49,811,544,225
  5. Step 5: Solve for x
    x = 49,811,544,225/102,300
  6. Step 6: Final answer
    x = 486,916.37

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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.