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Finding the Third Proportional to 152,973 and 336,234

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Solution

The third proportional to 152,973 and 336,234 is: 739,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,973 : 336,234 = 336,234 : x
  2. Step 2: Convert to fraction form
    152,973/336,234 = 336,234/x
  3. Step 3: Cross multiply
    152,973x = 336,234 × 336,234
  4. Step 4: Simplify right side
    152,973x = 113,053,302,756
  5. Step 5: Solve for x
    x = 113,053,302,756/152,973
  6. Step 6: Final answer
    x = 739,040.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.