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Finding the Third Proportional to 133,265 and 211,841

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Solution

The third proportional to 133,265 and 211,841 is: 336,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,265 : 211,841 = 211,841 : x
  2. Step 2: Convert to fraction form
    133,265/211,841 = 211,841/x
  3. Step 3: Cross multiply
    133,265x = 211,841 × 211,841
  4. Step 4: Simplify right side
    133,265x = 44,876,609,281
  5. Step 5: Solve for x
    x = 44,876,609,281/133,265
  6. Step 6: Final answer
    x = 336,747.15

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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.