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Finding the Third Proportional to 168,429 and 260,149.50

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Solution

The third proportional to 168,429 and 260,149.50 is: 401,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,429 : 260,149.50 = 260,149.50 : x
  2. Step 2: Convert to fraction form
    168,429/260,149.50 = 260,149.50/x
  3. Step 3: Cross multiply
    168,429x = 260,149.50 × 260,149.50
  4. Step 4: Simplify right side
    168,429x = 67,677,762,350.25
  5. Step 5: Solve for x
    x = 67,677,762,350.25/168,429
  6. Step 6: Final answer
    x = 401,817.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.