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Finding the Third Proportional to 146,052 and 319,137

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Solution

The third proportional to 146,052 and 319,137 is: 697,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,052 : 319,137 = 319,137 : x
  2. Step 2: Convert to fraction form
    146,052/319,137 = 319,137/x
  3. Step 3: Cross multiply
    146,052x = 319,137 × 319,137
  4. Step 4: Simplify right side
    146,052x = 101,848,424,769
  5. Step 5: Solve for x
    x = 101,848,424,769/146,052
  6. Step 6: Final answer
    x = 697,343.58

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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.