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Finding the Third Proportional to 118,800 and 245,133

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Solution

The third proportional to 118,800 and 245,133 is: 505,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,800 : 245,133 = 245,133 : x
  2. Step 2: Convert to fraction form
    118,800/245,133 = 245,133/x
  3. Step 3: Cross multiply
    118,800x = 245,133 × 245,133
  4. Step 4: Simplify right side
    118,800x = 60,090,187,689
  5. Step 5: Solve for x
    x = 60,090,187,689/118,800
  6. Step 6: Final answer
    x = 505,809.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.