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Finding the Third Proportional to 102,346 and 220,244

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Solution

The third proportional to 102,346 and 220,244 is: 473,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,346 : 220,244 = 220,244 : x
  2. Step 2: Convert to fraction form
    102,346/220,244 = 220,244/x
  3. Step 3: Cross multiply
    102,346x = 220,244 × 220,244
  4. Step 4: Simplify right side
    102,346x = 48,507,419,536
  5. Step 5: Solve for x
    x = 48,507,419,536/102,346
  6. Step 6: Final answer
    x = 473,955.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.