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Finding the Third Proportional to 170,380.13 and 264,574.69

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Solution

The third proportional to 170,380.13 and 264,574.69 is: 410,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,380.13 : 264,574.69 = 264,574.69 : x
  2. Step 2: Convert to fraction form
    170,380.13/264,574.69 = 264,574.69/x
  3. Step 3: Cross multiply
    170,380.13x = 264,574.69 × 264,574.69
  4. Step 4: Simplify right side
    170,380.13x = 69,999,765,265.72
  5. Step 5: Solve for x
    x = 69,999,765,265.72/170,380.13
  6. Step 6: Final answer
    x = 410,844.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.