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Finding the Third Proportional to 101,398.50 and 220,239

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Solution

The third proportional to 101,398.50 and 220,239 is: 478,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,398.50 : 220,239 = 220,239 : x
  2. Step 2: Convert to fraction form
    101,398.50/220,239 = 220,239/x
  3. Step 3: Cross multiply
    101,398.50x = 220,239 × 220,239
  4. Step 4: Simplify right side
    101,398.50x = 48,505,217,121
  5. Step 5: Solve for x
    x = 48,505,217,121/101,398.50
  6. Step 6: Final answer
    x = 478,362.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.