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Finding the Third Proportional to 165,209.63 and 344,649.94

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Solution

The third proportional to 165,209.63 and 344,649.94 is: 718,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,209.63 : 344,649.94 = 344,649.94 : x
  2. Step 2: Convert to fraction form
    165,209.63/344,649.94 = 344,649.94/x
  3. Step 3: Cross multiply
    165,209.63x = 344,649.94 × 344,649.94
  4. Step 4: Simplify right side
    165,209.63x = 118,783,579,418.75
  5. Step 5: Solve for x
    x = 118,783,579,418.75/165,209.63
  6. Step 6: Final answer
    x = 718,987.04

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.