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Finding the Third Proportional to 174,187.13 and 254,559.38

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Solution

The third proportional to 174,187.13 and 254,559.38 is: 372,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,187.13 : 254,559.38 = 254,559.38 : x
  2. Step 2: Convert to fraction form
    174,187.13/254,559.38 = 254,559.38/x
  3. Step 3: Cross multiply
    174,187.13x = 254,559.38 × 254,559.38
  4. Step 4: Simplify right side
    174,187.13x = 64,800,475,400.39
  5. Step 5: Solve for x
    x = 64,800,475,400.39/174,187.13
  6. Step 6: Final answer
    x = 372,016.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.