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Finding the Third Proportional to 122,841 and 266,418

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Solution

The third proportional to 122,841 and 266,418 is: 577,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,841 : 266,418 = 266,418 : x
  2. Step 2: Convert to fraction form
    122,841/266,418 = 266,418/x
  3. Step 3: Cross multiply
    122,841x = 266,418 × 266,418
  4. Step 4: Simplify right side
    122,841x = 70,978,550,724
  5. Step 5: Solve for x
    x = 70,978,550,724/122,841
  6. Step 6: Final answer
    x = 577,808.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.