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Finding the Third Proportional to 101,346 and 218,256

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Solution

The third proportional to 101,346 and 218,256 is: 470,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,346 : 218,256 = 218,256 : x
  2. Step 2: Convert to fraction form
    101,346/218,256 = 218,256/x
  3. Step 3: Cross multiply
    101,346x = 218,256 × 218,256
  4. Step 4: Simplify right side
    101,346x = 47,635,681,536
  5. Step 5: Solve for x
    x = 47,635,681,536/101,346
  6. Step 6: Final answer
    x = 470,030.21

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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.