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Finding the Third Proportional to 102,015 and 223,708

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Solution

The third proportional to 102,015 and 223,708 is: 490,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015 : 223,708 = 223,708 : x
  2. Step 2: Convert to fraction form
    102,015/223,708 = 223,708/x
  3. Step 3: Cross multiply
    102,015x = 223,708 × 223,708
  4. Step 4: Simplify right side
    102,015x = 50,045,269,264
  5. Step 5: Solve for x
    x = 50,045,269,264/102,015
  6. Step 6: Final answer
    x = 490,567.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.