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Finding the Third Proportional to 118,836 and 253,708

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Solution

The third proportional to 118,836 and 253,708 is: 541,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,836 : 253,708 = 253,708 : x
  2. Step 2: Convert to fraction form
    118,836/253,708 = 253,708/x
  3. Step 3: Cross multiply
    118,836x = 253,708 × 253,708
  4. Step 4: Simplify right side
    118,836x = 64,367,749,264
  5. Step 5: Solve for x
    x = 64,367,749,264/118,836
  6. Step 6: Final answer
    x = 541,651.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.