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Finding the Third Proportional to 180,102.38 and 260,853.75

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Solution

The third proportional to 180,102.38 and 260,853.75 is: 377,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,102.38 : 260,853.75 = 260,853.75 : x
  2. Step 2: Convert to fraction form
    180,102.38/260,853.75 = 260,853.75/x
  3. Step 3: Cross multiply
    180,102.38x = 260,853.75 × 260,853.75
  4. Step 4: Simplify right side
    180,102.38x = 68,044,678,889.06
  5. Step 5: Solve for x
    x = 68,044,678,889.06/180,102.38
  6. Step 6: Final answer
    x = 377,811.11

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.