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Finding the Third Proportional to 274,158 and 408,955.50

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Solution

The third proportional to 274,158 and 408,955.50 is: 610,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,158 : 408,955.50 = 408,955.50 : x
  2. Step 2: Convert to fraction form
    274,158/408,955.50 = 408,955.50/x
  3. Step 3: Cross multiply
    274,158x = 408,955.50 × 408,955.50
  4. Step 4: Simplify right side
    274,158x = 167,244,600,980.25
  5. Step 5: Solve for x
    x = 167,244,600,980.25/274,158
  6. Step 6: Final answer
    x = 610,029.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.