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Finding the Third Proportional to 193,449.94 and 313,395.75

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Solution

The third proportional to 193,449.94 and 313,395.75 is: 507,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,449.94 : 313,395.75 = 313,395.75 : x
  2. Step 2: Convert to fraction form
    193,449.94/313,395.75 = 313,395.75/x
  3. Step 3: Cross multiply
    193,449.94x = 313,395.75 × 313,395.75
  4. Step 4: Simplify right side
    193,449.94x = 98,216,896,118.06
  5. Step 5: Solve for x
    x = 98,216,896,118.06/193,449.94
  6. Step 6: Final answer
    x = 507,712.21

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.