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Finding the Third Proportional to 121,756.50 and 269,792.44

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Solution

The third proportional to 121,756.50 and 269,792.44 is: 597,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,756.50 : 269,792.44 = 269,792.44 : x
  2. Step 2: Convert to fraction form
    121,756.50/269,792.44 = 269,792.44/x
  3. Step 3: Cross multiply
    121,756.50x = 269,792.44 × 269,792.44
  4. Step 4: Simplify right side
    121,756.50x = 72,787,959,332.19
  5. Step 5: Solve for x
    x = 72,787,959,332.19/121,756.50
  6. Step 6: Final answer
    x = 597,815.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.