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Finding the Third Proportional to 152,804 and 229,494

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Solution

The third proportional to 152,804 and 229,494 is: 344,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,804 : 229,494 = 229,494 : x
  2. Step 2: Convert to fraction form
    152,804/229,494 = 229,494/x
  3. Step 3: Cross multiply
    152,804x = 229,494 × 229,494
  4. Step 4: Simplify right side
    152,804x = 52,667,496,036
  5. Step 5: Solve for x
    x = 52,667,496,036/152,804
  6. Step 6: Final answer
    x = 344,673.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.