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Finding the Third Proportional to 174,872.50 and 270,037

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Solution

The third proportional to 174,872.50 and 270,037 is: 416,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,872.50 : 270,037 = 270,037 : x
  2. Step 2: Convert to fraction form
    174,872.50/270,037 = 270,037/x
  3. Step 3: Cross multiply
    174,872.50x = 270,037 × 270,037
  4. Step 4: Simplify right side
    174,872.50x = 72,919,981,369
  5. Step 5: Solve for x
    x = 72,919,981,369/174,872.50
  6. Step 6: Final answer
    x = 416,989.41

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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.