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Finding the Third Proportional to 170,380.13 and 264,564.56

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Solution

The third proportional to 170,380.13 and 264,564.56 is: 410,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,380.13 : 264,564.56 = 264,564.56 : x
  2. Step 2: Convert to fraction form
    170,380.13/264,564.56 = 264,564.56/x
  3. Step 3: Cross multiply
    170,380.13x = 264,564.56 × 264,564.56
  4. Step 4: Simplify right side
    170,380.13x = 69,994,407,730.82
  5. Step 5: Solve for x
    x = 69,994,407,730.82/170,380.13
  6. Step 6: Final answer
    x = 410,813.22

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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.