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Finding the Third Proportional to 168,064 and 260,200

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Solution

The third proportional to 168,064 and 260,200 is: 402,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,064 : 260,200 = 260,200 : x
  2. Step 2: Convert to fraction form
    168,064/260,200 = 260,200/x
  3. Step 3: Cross multiply
    168,064x = 260,200 × 260,200
  4. Step 4: Simplify right side
    168,064x = 67,704,040,000
  5. Step 5: Solve for x
    x = 67,704,040,000/168,064
  6. Step 6: Final answer
    x = 402,846.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.