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Finding the Third Proportional to 174,345.75 and 255,546.56

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Solution

The third proportional to 174,345.75 and 255,546.56 is: 374,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,345.75 : 255,546.56 = 255,546.56 : x
  2. Step 2: Convert to fraction form
    174,345.75/255,546.56 = 255,546.56/x
  3. Step 3: Cross multiply
    174,345.75x = 255,546.56 × 255,546.56
  4. Step 4: Simplify right side
    174,345.75x = 65,304,045,605.57
  5. Step 5: Solve for x
    x = 65,304,045,605.57/174,345.75
  6. Step 6: Final answer
    x = 374,566.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.