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Finding the Third Proportional to 226,508.63 and 316,842.19

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Solution

The third proportional to 226,508.63 and 316,842.19 is: 443,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,508.63 : 316,842.19 = 316,842.19 : x
  2. Step 2: Convert to fraction form
    226,508.63/316,842.19 = 316,842.19/x
  3. Step 3: Cross multiply
    226,508.63x = 316,842.19 × 316,842.19
  4. Step 4: Simplify right side
    226,508.63x = 100,388,971,779.79
  5. Step 5: Solve for x
    x = 100,388,971,779.79/226,508.63
  6. Step 6: Final answer
    x = 443,201.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.