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Finding the Third Proportional to 122,839 and 266,413

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Solution

The third proportional to 122,839 and 266,413 is: 577,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,839 : 266,413 = 266,413 : x
  2. Step 2: Convert to fraction form
    122,839/266,413 = 266,413/x
  3. Step 3: Cross multiply
    122,839x = 266,413 × 266,413
  4. Step 4: Simplify right side
    122,839x = 70,975,886,569
  5. Step 5: Solve for x
    x = 70,975,886,569/122,839
  6. Step 6: Final answer
    x = 577,796.03

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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.