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Finding the Third Proportional to 229,059 and 493,238.25

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Solution

The third proportional to 229,059 and 493,238.25 is: 1,062,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,059 : 493,238.25 = 493,238.25 : x
  2. Step 2: Convert to fraction form
    229,059/493,238.25 = 493,238.25/x
  3. Step 3: Cross multiply
    229,059x = 493,238.25 × 493,238.25
  4. Step 4: Simplify right side
    229,059x = 243,283,971,263.06
  5. Step 5: Solve for x
    x = 243,283,971,263.06/229,059
  6. Step 6: Final answer
    x = 1,062,101.78

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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.