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Finding the Third Proportional to 180,672 and 391,464

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Solution

The third proportional to 180,672 and 391,464 is: 848,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,672 : 391,464 = 391,464 : x
  2. Step 2: Convert to fraction form
    180,672/391,464 = 391,464/x
  3. Step 3: Cross multiply
    180,672x = 391,464 × 391,464
  4. Step 4: Simplify right side
    180,672x = 153,244,063,296
  5. Step 5: Solve for x
    x = 153,244,063,296/180,672
  6. Step 6: Final answer
    x = 848,189.33

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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.