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Finding the Third Proportional to 115,279 and 176,417

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Solution

The third proportional to 115,279 and 176,417 is: 269,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,279 : 176,417 = 176,417 : x
  2. Step 2: Convert to fraction form
    115,279/176,417 = 176,417/x
  3. Step 3: Cross multiply
    115,279x = 176,417 × 176,417
  4. Step 4: Simplify right side
    115,279x = 31,122,957,889
  5. Step 5: Solve for x
    x = 31,122,957,889/115,279
  6. Step 6: Final answer
    x = 269,979.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.