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Finding the Third Proportional to 185,682.38 and 250,742.25

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Solution

The third proportional to 185,682.38 and 250,742.25 is: 338,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,682.38 : 250,742.25 = 250,742.25 : x
  2. Step 2: Convert to fraction form
    185,682.38/250,742.25 = 250,742.25/x
  3. Step 3: Cross multiply
    185,682.38x = 250,742.25 × 250,742.25
  4. Step 4: Simplify right side
    185,682.38x = 62,871,675,935.06
  5. Step 5: Solve for x
    x = 62,871,675,935.06/185,682.38
  6. Step 6: Final answer
    x = 338,597.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.