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Finding the Third Proportional to 165,069 and 343,051.88

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Solution

The third proportional to 165,069 and 343,051.88 is: 712,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,069 : 343,051.88 = 343,051.88 : x
  2. Step 2: Convert to fraction form
    165,069/343,051.88 = 343,051.88/x
  3. Step 3: Cross multiply
    165,069x = 343,051.88 × 343,051.88
  4. Step 4: Simplify right side
    165,069x = 117,684,588,941.02
  5. Step 5: Solve for x
    x = 117,684,588,941.02/165,069
  6. Step 6: Final answer
    x = 712,941.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.