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Finding the Third Proportional to 180,546 and 391,224

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Solution

The third proportional to 180,546 and 391,224 is: 847,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,546 : 391,224 = 391,224 : x
  2. Step 2: Convert to fraction form
    180,546/391,224 = 391,224/x
  3. Step 3: Cross multiply
    180,546x = 391,224 × 391,224
  4. Step 4: Simplify right side
    180,546x = 153,056,218,176
  5. Step 5: Solve for x
    x = 153,056,218,176/180,546
  6. Step 6: Final answer
    x = 847,740.84

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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.