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Finding the Third Proportional to 155,421.75 and 233,709.56

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Solution

The third proportional to 155,421.75 and 233,709.56 is: 351,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,421.75 : 233,709.56 = 233,709.56 : x
  2. Step 2: Convert to fraction form
    155,421.75/233,709.56 = 233,709.56/x
  3. Step 3: Cross multiply
    155,421.75x = 233,709.56 × 233,709.56
  4. Step 4: Simplify right side
    155,421.75x = 54,620,159,603.94
  5. Step 5: Solve for x
    x = 54,620,159,603.94/155,421.75
  6. Step 6: Final answer
    x = 351,431.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.