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Finding the Third Proportional to 146,456 and 319,768

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Solution

The third proportional to 146,456 and 319,768 is: 698,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,456 : 319,768 = 319,768 : x
  2. Step 2: Convert to fraction form
    146,456/319,768 = 319,768/x
  3. Step 3: Cross multiply
    146,456x = 319,768 × 319,768
  4. Step 4: Simplify right side
    146,456x = 102,251,573,824
  5. Step 5: Solve for x
    x = 102,251,573,824/146,456
  6. Step 6: Final answer
    x = 698,172.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.