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Finding the Third Proportional to 170,474.63 and 255,711.94

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Solution

The third proportional to 170,474.63 and 255,711.94 is: 383,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,474.63 : 255,711.94 = 255,711.94 : x
  2. Step 2: Convert to fraction form
    170,474.63/255,711.94 = 255,711.94/x
  3. Step 3: Cross multiply
    170,474.63x = 255,711.94 × 255,711.94
  4. Step 4: Simplify right side
    170,474.63x = 65,388,594,980.00
  5. Step 5: Solve for x
    x = 65,388,594,980.00/170,474.63
  6. Step 6: Final answer
    x = 383,567.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.