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Finding the Third Proportional to 170,798.25 and 255,255

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Solution

The third proportional to 170,798.25 and 255,255 is: 381,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,798.25 : 255,255 = 255,255 : x
  2. Step 2: Convert to fraction form
    170,798.25/255,255 = 255,255/x
  3. Step 3: Cross multiply
    170,798.25x = 255,255 × 255,255
  4. Step 4: Simplify right side
    170,798.25x = 65,155,115,025
  5. Step 5: Solve for x
    x = 65,155,115,025/170,798.25
  6. Step 6: Final answer
    x = 381,474.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.