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Finding the Third Proportional to 232,704 and 373,353.75

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Solution

The third proportional to 232,704 and 373,353.75 is: 599,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704 : 373,353.75 = 373,353.75 : x
  2. Step 2: Convert to fraction form
    232,704/373,353.75 = 373,353.75/x
  3. Step 3: Cross multiply
    232,704x = 373,353.75 × 373,353.75
  4. Step 4: Simplify right side
    232,704x = 139,393,022,639.06
  5. Step 5: Solve for x
    x = 139,393,022,639.06/232,704
  6. Step 6: Final answer
    x = 599,014.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.