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Finding the Third Proportional to 104,532 and 229,873

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Solution

The third proportional to 104,532 and 229,873 is: 505,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,532 : 229,873 = 229,873 : x
  2. Step 2: Convert to fraction form
    104,532/229,873 = 229,873/x
  3. Step 3: Cross multiply
    104,532x = 229,873 × 229,873
  4. Step 4: Simplify right side
    104,532x = 52,841,596,129
  5. Step 5: Solve for x
    x = 52,841,596,129/104,532
  6. Step 6: Final answer
    x = 505,506.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.