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Finding the Third Proportional to 165,090 and 347,914

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Solution

The third proportional to 165,090 and 347,914 is: 733,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,090 : 347,914 = 347,914 : x
  2. Step 2: Convert to fraction form
    165,090/347,914 = 347,914/x
  3. Step 3: Cross multiply
    165,090x = 347,914 × 347,914
  4. Step 4: Simplify right side
    165,090x = 121,044,151,396
  5. Step 5: Solve for x
    x = 121,044,151,396/165,090
  6. Step 6: Final answer
    x = 733,200.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.