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Finding the Third Proportional to 168,186.38 and 257,205.38

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Solution

The third proportional to 168,186.38 and 257,205.38 is: 393,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,186.38 : 257,205.38 = 257,205.38 : x
  2. Step 2: Convert to fraction form
    168,186.38/257,205.38 = 257,205.38/x
  3. Step 3: Cross multiply
    168,186.38x = 257,205.38 × 257,205.38
  4. Step 4: Simplify right side
    168,186.38x = 66,154,604,928.89
  5. Step 5: Solve for x
    x = 66,154,604,928.89/168,186.38
  6. Step 6: Final answer
    x = 393,341.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.