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Finding the Third Proportional to 146,173 and 319,684

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Solution

The third proportional to 146,173 and 319,684 is: 699,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,173 : 319,684 = 319,684 : x
  2. Step 2: Convert to fraction form
    146,173/319,684 = 319,684/x
  3. Step 3: Cross multiply
    146,173x = 319,684 × 319,684
  4. Step 4: Simplify right side
    146,173x = 102,197,859,856
  5. Step 5: Solve for x
    x = 102,197,859,856/146,173
  6. Step 6: Final answer
    x = 699,156.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.