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Finding the Third Proportional to 164,346 and 261,279

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Solution

The third proportional to 164,346 and 261,279 is: 415,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,346 : 261,279 = 261,279 : x
  2. Step 2: Convert to fraction form
    164,346/261,279 = 261,279/x
  3. Step 3: Cross multiply
    164,346x = 261,279 × 261,279
  4. Step 4: Simplify right side
    164,346x = 68,266,715,841
  5. Step 5: Solve for x
    x = 68,266,715,841/164,346
  6. Step 6: Final answer
    x = 415,384.10

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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.