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Finding the Third Proportional to 169,317 and 248,918

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Solution

The third proportional to 169,317 and 248,918 is: 365,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,317 : 248,918 = 248,918 : x
  2. Step 2: Convert to fraction form
    169,317/248,918 = 248,918/x
  3. Step 3: Cross multiply
    169,317x = 248,918 × 248,918
  4. Step 4: Simplify right side
    169,317x = 61,960,170,724
  5. Step 5: Solve for x
    x = 61,960,170,724/169,317
  6. Step 6: Final answer
    x = 365,941.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.