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Finding the Third Proportional to 193,470 and 262,727.25

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Solution

The third proportional to 193,470 and 262,727.25 is: 356,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,470 : 262,727.25 = 262,727.25 : x
  2. Step 2: Convert to fraction form
    193,470/262,727.25 = 262,727.25/x
  3. Step 3: Cross multiply
    193,470x = 262,727.25 × 262,727.25
  4. Step 4: Simplify right side
    193,470x = 69,025,607,892.56
  5. Step 5: Solve for x
    x = 69,025,607,892.56/193,470
  6. Step 6: Final answer
    x = 356,776.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.