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Finding the Third Proportional to 146,989.50 and 322,004.50

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Solution

The third proportional to 146,989.50 and 322,004.50 is: 705,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,989.50 : 322,004.50 = 322,004.50 : x
  2. Step 2: Convert to fraction form
    146,989.50/322,004.50 = 322,004.50/x
  3. Step 3: Cross multiply
    146,989.50x = 322,004.50 × 322,004.50
  4. Step 4: Simplify right side
    146,989.50x = 103,686,898,020.25
  5. Step 5: Solve for x
    x = 103,686,898,020.25/146,989.50
  6. Step 6: Final answer
    x = 705,403.43

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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.