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Finding the Third Proportional to 134,143.59 and 283,816.41

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Solution

The third proportional to 134,143.59 and 283,816.41 is: 600,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,143.59 : 283,816.41 = 283,816.41 : x
  2. Step 2: Convert to fraction form
    134,143.59/283,816.41 = 283,816.41/x
  3. Step 3: Cross multiply
    134,143.59x = 283,816.41 × 283,816.41
  4. Step 4: Simplify right side
    134,143.59x = 80,551,752,456.67
  5. Step 5: Solve for x
    x = 80,551,752,456.67/134,143.59
  6. Step 6: Final answer
    x = 600,489.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.