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Finding the Third Proportional to 174,946.50 and 247,757.06

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Solution

The third proportional to 174,946.50 and 247,757.06 is: 350,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,946.50 : 247,757.06 = 247,757.06 : x
  2. Step 2: Convert to fraction form
    174,946.50/247,757.06 = 247,757.06/x
  3. Step 3: Cross multiply
    174,946.50x = 247,757.06 × 247,757.06
  4. Step 4: Simplify right side
    174,946.50x = 61,383,562,018.63
  5. Step 5: Solve for x
    x = 61,383,562,018.63/174,946.50
  6. Step 6: Final answer
    x = 350,870.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.