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Finding the Third Proportional to 174,534.75 and 270,225.75

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Solution

The third proportional to 174,534.75 and 270,225.75 is: 418,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,534.75 : 270,225.75 = 270,225.75 : x
  2. Step 2: Convert to fraction form
    174,534.75/270,225.75 = 270,225.75/x
  3. Step 3: Cross multiply
    174,534.75x = 270,225.75 × 270,225.75
  4. Step 4: Simplify right side
    174,534.75x = 73,021,955,963.06
  5. Step 5: Solve for x
    x = 73,021,955,963.06/174,534.75
  6. Step 6: Final answer
    x = 418,380.61

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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.