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Finding the Third Proportional to 146,191.50 and 320,303.25

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Solution

The third proportional to 146,191.50 and 320,303.25 is: 701,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,191.50 : 320,303.25 = 320,303.25 : x
  2. Step 2: Convert to fraction form
    146,191.50/320,303.25 = 320,303.25/x
  3. Step 3: Cross multiply
    146,191.50x = 320,303.25 × 320,303.25
  4. Step 4: Simplify right side
    146,191.50x = 102,594,171,960.56
  5. Step 5: Solve for x
    x = 102,594,171,960.56/146,191.50
  6. Step 6: Final answer
    x = 701,779.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.