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Finding the Third Proportional to 115,651 and 252,267.50

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Solution

The third proportional to 115,651 and 252,267.50 is: 550,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,651 : 252,267.50 = 252,267.50 : x
  2. Step 2: Convert to fraction form
    115,651/252,267.50 = 252,267.50/x
  3. Step 3: Cross multiply
    115,651x = 252,267.50 × 252,267.50
  4. Step 4: Simplify right side
    115,651x = 63,638,891,556.25
  5. Step 5: Solve for x
    x = 63,638,891,556.25/115,651
  6. Step 6: Final answer
    x = 550,266.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.