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Finding the Third Proportional to 161,595 and 343,620

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Solution

The third proportional to 161,595 and 343,620 is: 730,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,595 : 343,620 = 343,620 : x
  2. Step 2: Convert to fraction form
    161,595/343,620 = 343,620/x
  3. Step 3: Cross multiply
    161,595x = 343,620 × 343,620
  4. Step 4: Simplify right side
    161,595x = 118,074,704,400
  5. Step 5: Solve for x
    x = 118,074,704,400/161,595
  6. Step 6: Final answer
    x = 730,682.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.