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Finding the Third Proportional to 170,344.69 and 264,510.56

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Solution

The third proportional to 170,344.69 and 264,510.56 is: 410,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,344.69 : 264,510.56 = 264,510.56 : x
  2. Step 2: Convert to fraction form
    170,344.69/264,510.56 = 264,510.56/x
  3. Step 3: Cross multiply
    170,344.69x = 264,510.56 × 264,510.56
  4. Step 4: Simplify right side
    170,344.69x = 69,965,837,674.07
  5. Step 5: Solve for x
    x = 69,965,837,674.07/170,344.69
  6. Step 6: Final answer
    x = 410,730.96

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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.