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Finding the Third Proportional to 168,186 and 259,715.25

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Solution

The third proportional to 168,186 and 259,715.25 is: 401,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,186 : 259,715.25 = 259,715.25 : x
  2. Step 2: Convert to fraction form
    168,186/259,715.25 = 259,715.25/x
  3. Step 3: Cross multiply
    168,186x = 259,715.25 × 259,715.25
  4. Step 4: Simplify right side
    168,186x = 67,452,011,082.56
  5. Step 5: Solve for x
    x = 67,452,011,082.56/168,186
  6. Step 6: Final answer
    x = 401,056.04

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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.