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Finding the Third Proportional to 168,099 and 260,266.50

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Solution

The third proportional to 168,099 and 260,266.50 is: 402,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,099 : 260,266.50 = 260,266.50 : x
  2. Step 2: Convert to fraction form
    168,099/260,266.50 = 260,266.50/x
  3. Step 3: Cross multiply
    168,099x = 260,266.50 × 260,266.50
  4. Step 4: Simplify right side
    168,099x = 67,738,651,022.25
  5. Step 5: Solve for x
    x = 67,738,651,022.25/168,099
  6. Step 6: Final answer
    x = 402,968.79

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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.