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Finding the Third Proportional to 116,891 and 253,707.50

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Solution

The third proportional to 116,891 and 253,707.50 is: 550,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,891 : 253,707.50 = 253,707.50 : x
  2. Step 2: Convert to fraction form
    116,891/253,707.50 = 253,707.50/x
  3. Step 3: Cross multiply
    116,891x = 253,707.50 × 253,707.50
  4. Step 4: Simplify right side
    116,891x = 64,367,495,556.25
  5. Step 5: Solve for x
    x = 64,367,495,556.25/116,891
  6. Step 6: Final answer
    x = 550,662.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.