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Finding the Third Proportional to 170,380.97 and 264,554.86

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Solution

The third proportional to 170,380.97 and 264,554.86 is: 410,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,380.97 : 264,554.86 = 264,554.86 : x
  2. Step 2: Convert to fraction form
    170,380.97/264,554.86 = 264,554.86/x
  3. Step 3: Cross multiply
    170,380.97x = 264,554.86 × 264,554.86
  4. Step 4: Simplify right side
    170,380.97x = 69,989,273,618.93
  5. Step 5: Solve for x
    x = 69,989,273,618.93/170,380.97
  6. Step 6: Final answer
    x = 410,781.05

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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.