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Finding the Third Proportional to 209,044.13 and 264,358.69

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Solution

The third proportional to 209,044.13 and 264,358.69 is: 334,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,044.13 : 264,358.69 = 264,358.69 : x
  2. Step 2: Convert to fraction form
    209,044.13/264,358.69 = 264,358.69/x
  3. Step 3: Cross multiply
    209,044.13x = 264,358.69 × 264,358.69
  4. Step 4: Simplify right side
    209,044.13x = 69,885,515,656.72
  5. Step 5: Solve for x
    x = 69,885,515,656.72/209,044.13
  6. Step 6: Final answer
    x = 334,309.88

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.