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Finding the Third Proportional to 116,818 and 255,750

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Solution

The third proportional to 116,818 and 255,750 is: 559,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,818 : 255,750 = 255,750 : x
  2. Step 2: Convert to fraction form
    116,818/255,750 = 255,750/x
  3. Step 3: Cross multiply
    116,818x = 255,750 × 255,750
  4. Step 4: Simplify right side
    116,818x = 65,408,062,500
  5. Step 5: Solve for x
    x = 65,408,062,500/116,818
  6. Step 6: Final answer
    x = 559,914.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.