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Finding the Third Proportional to 171,409.50 and 363,555

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Solution

The third proportional to 171,409.50 and 363,555 is: 771,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,409.50 : 363,555 = 363,555 : x
  2. Step 2: Convert to fraction form
    171,409.50/363,555 = 363,555/x
  3. Step 3: Cross multiply
    171,409.50x = 363,555 × 363,555
  4. Step 4: Simplify right side
    171,409.50x = 132,172,238,025
  5. Step 5: Solve for x
    x = 132,172,238,025/171,409.50
  6. Step 6: Final answer
    x = 771,090.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.