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Finding the Third Proportional to 180,972 and 266,188.50

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Solution

The third proportional to 180,972 and 266,188.50 is: 391,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,972 : 266,188.50 = 266,188.50 : x
  2. Step 2: Convert to fraction form
    180,972/266,188.50 = 266,188.50/x
  3. Step 3: Cross multiply
    180,972x = 266,188.50 × 266,188.50
  4. Step 4: Simplify right side
    180,972x = 70,856,317,532.25
  5. Step 5: Solve for x
    x = 70,856,317,532.25/180,972
  6. Step 6: Final answer
    x = 391,531.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.