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Finding the Third Proportional to 174,816 and 375,120

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Solution

The third proportional to 174,816 and 375,120 is: 804,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,816 : 375,120 = 375,120 : x
  2. Step 2: Convert to fraction form
    174,816/375,120 = 375,120/x
  3. Step 3: Cross multiply
    174,816x = 375,120 × 375,120
  4. Step 4: Simplify right side
    174,816x = 140,715,014,400
  5. Step 5: Solve for x
    x = 140,715,014,400/174,816
  6. Step 6: Final answer
    x = 804,932.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.