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Finding the Third Proportional to 146,182 and 319,418

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Solution

The third proportional to 146,182 and 319,418 is: 697,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,182 : 319,418 = 319,418 : x
  2. Step 2: Convert to fraction form
    146,182/319,418 = 319,418/x
  3. Step 3: Cross multiply
    146,182x = 319,418 × 319,418
  4. Step 4: Simplify right side
    146,182x = 102,027,858,724
  5. Step 5: Solve for x
    x = 102,027,858,724/146,182
  6. Step 6: Final answer
    x = 697,950.90

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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.