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Finding the Third Proportional to 146,442 and 319,734

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Solution

The third proportional to 146,442 and 319,734 is: 698,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,442 : 319,734 = 319,734 : x
  2. Step 2: Convert to fraction form
    146,442/319,734 = 319,734/x
  3. Step 3: Cross multiply
    146,442x = 319,734 × 319,734
  4. Step 4: Simplify right side
    146,442x = 102,229,830,756
  5. Step 5: Solve for x
    x = 102,229,830,756/146,442
  6. Step 6: Final answer
    x = 698,090.92

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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.