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Finding the Third Proportional to 211,836 and 337,497.75

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Solution

The third proportional to 211,836 and 337,497.75 is: 537,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,836 : 337,497.75 = 337,497.75 : x
  2. Step 2: Convert to fraction form
    211,836/337,497.75 = 337,497.75/x
  3. Step 3: Cross multiply
    211,836x = 337,497.75 × 337,497.75
  4. Step 4: Simplify right side
    211,836x = 113,904,731,255.06
  5. Step 5: Solve for x
    x = 113,904,731,255.06/211,836
  6. Step 6: Final answer
    x = 537,702.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.