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Finding the Third Proportional to 121,299 and 263,214.50

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Solution

The third proportional to 121,299 and 263,214.50 is: 571,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,299 : 263,214.50 = 263,214.50 : x
  2. Step 2: Convert to fraction form
    121,299/263,214.50 = 263,214.50/x
  3. Step 3: Cross multiply
    121,299x = 263,214.50 × 263,214.50
  4. Step 4: Simplify right side
    121,299x = 69,281,873,010.25
  5. Step 5: Solve for x
    x = 69,281,873,010.25/121,299
  6. Step 6: Final answer
    x = 571,166.07

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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.