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Finding the Third Proportional to 193,983.19 and 283,592.81

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Solution

The third proportional to 193,983.19 and 283,592.81 is: 414,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,983.19 : 283,592.81 = 283,592.81 : x
  2. Step 2: Convert to fraction form
    193,983.19/283,592.81 = 283,592.81/x
  3. Step 3: Cross multiply
    193,983.19x = 283,592.81 × 283,592.81
  4. Step 4: Simplify right side
    193,983.19x = 80,424,883,301.66
  5. Step 5: Solve for x
    x = 80,424,883,301.66/193,983.19
  6. Step 6: Final answer
    x = 414,597.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.