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Finding the Third Proportional to 113,574.38 and 178,189.59

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Solution

The third proportional to 113,574.38 and 178,189.59 is: 279,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,574.38 : 178,189.59 = 178,189.59 : x
  2. Step 2: Convert to fraction form
    113,574.38/178,189.59 = 178,189.59/x
  3. Step 3: Cross multiply
    113,574.38x = 178,189.59 × 178,189.59
  4. Step 4: Simplify right side
    113,574.38x = 31,751,531,320.79
  5. Step 5: Solve for x
    x = 31,751,531,320.79/113,574.38
  6. Step 6: Final answer
    x = 279,565.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.