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Finding the Third Proportional to 116,956.50 and 252,577.50

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Solution

The third proportional to 116,956.50 and 252,577.50 is: 545,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,956.50 : 252,577.50 = 252,577.50 : x
  2. Step 2: Convert to fraction form
    116,956.50/252,577.50 = 252,577.50/x
  3. Step 3: Cross multiply
    116,956.50x = 252,577.50 × 252,577.50
  4. Step 4: Simplify right side
    116,956.50x = 63,795,393,506.25
  5. Step 5: Solve for x
    x = 63,795,393,506.25/116,956.50
  6. Step 6: Final answer
    x = 545,462.57

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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.