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Finding the Third Proportional to 167,949.50 and 260,037

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Solution

The third proportional to 167,949.50 and 260,037 is: 402,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,949.50 : 260,037 = 260,037 : x
  2. Step 2: Convert to fraction form
    167,949.50/260,037 = 260,037/x
  3. Step 3: Cross multiply
    167,949.50x = 260,037 × 260,037
  4. Step 4: Simplify right side
    167,949.50x = 67,619,241,369
  5. Step 5: Solve for x
    x = 67,619,241,369/167,949.50
  6. Step 6: Final answer
    x = 402,616.51

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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.