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Finding the Third Proportional to 185,156.38 and 276,521.25

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Solution

The third proportional to 185,156.38 and 276,521.25 is: 412,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,156.38 : 276,521.25 = 276,521.25 : x
  2. Step 2: Convert to fraction form
    185,156.38/276,521.25 = 276,521.25/x
  3. Step 3: Cross multiply
    185,156.38x = 276,521.25 × 276,521.25
  4. Step 4: Simplify right side
    185,156.38x = 76,464,001,701.56
  5. Step 5: Solve for x
    x = 76,464,001,701.56/185,156.38
  6. Step 6: Final answer
    x = 412,969.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.