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Finding the Third Proportional to 169,452 and 334,651.50

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Solution

The third proportional to 169,452 and 334,651.50 is: 660,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,452 : 334,651.50 = 334,651.50 : x
  2. Step 2: Convert to fraction form
    169,452/334,651.50 = 334,651.50/x
  3. Step 3: Cross multiply
    169,452x = 334,651.50 × 334,651.50
  4. Step 4: Simplify right side
    169,452x = 111,991,626,452.25
  5. Step 5: Solve for x
    x = 111,991,626,452.25/169,452
  6. Step 6: Final answer
    x = 660,904.72

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.