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Finding the Third Proportional to 150,526.50 and 233,202

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Solution

The third proportional to 150,526.50 and 233,202 is: 361,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,526.50 : 233,202 = 233,202 : x
  2. Step 2: Convert to fraction form
    150,526.50/233,202 = 233,202/x
  3. Step 3: Cross multiply
    150,526.50x = 233,202 × 233,202
  4. Step 4: Simplify right side
    150,526.50x = 54,383,172,804
  5. Step 5: Solve for x
    x = 54,383,172,804/150,526.50
  6. Step 6: Final answer
    x = 361,286.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.