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Finding the Third Proportional to 118,246 and 253,988

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Solution

The third proportional to 118,246 and 253,988 is: 545,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,246 : 253,988 = 253,988 : x
  2. Step 2: Convert to fraction form
    118,246/253,988 = 253,988/x
  3. Step 3: Cross multiply
    118,246x = 253,988 × 253,988
  4. Step 4: Simplify right side
    118,246x = 64,509,904,144
  5. Step 5: Solve for x
    x = 64,509,904,144/118,246
  6. Step 6: Final answer
    x = 545,556.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.