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Finding the Third Proportional to 180,148 and 391,064

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Solution

The third proportional to 180,148 and 391,064 is: 848,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,148 : 391,064 = 391,064 : x
  2. Step 2: Convert to fraction form
    180,148/391,064 = 391,064/x
  3. Step 3: Cross multiply
    180,148x = 391,064 × 391,064
  4. Step 4: Simplify right side
    180,148x = 152,931,052,096
  5. Step 5: Solve for x
    x = 152,931,052,096/180,148
  6. Step 6: Final answer
    x = 848,918.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.