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Finding the Third Proportional to 184,920 and 398,755.50

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Solution

The third proportional to 184,920 and 398,755.50 is: 859,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,920 : 398,755.50 = 398,755.50 : x
  2. Step 2: Convert to fraction form
    184,920/398,755.50 = 398,755.50/x
  3. Step 3: Cross multiply
    184,920x = 398,755.50 × 398,755.50
  4. Step 4: Simplify right side
    184,920x = 159,005,948,780.25
  5. Step 5: Solve for x
    x = 159,005,948,780.25/184,920
  6. Step 6: Final answer
    x = 859,863.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.