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Finding the Third Proportional to 159,852 and 230,938.50

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Solution

The third proportional to 159,852 and 230,938.50 is: 333,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,852 : 230,938.50 = 230,938.50 : x
  2. Step 2: Convert to fraction form
    159,852/230,938.50 = 230,938.50/x
  3. Step 3: Cross multiply
    159,852x = 230,938.50 × 230,938.50
  4. Step 4: Simplify right side
    159,852x = 53,332,590,782.25
  5. Step 5: Solve for x
    x = 53,332,590,782.25/159,852
  6. Step 6: Final answer
    x = 333,637.31

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.