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Finding the Third Proportional to 152,751 and 231,666.75

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Solution

The third proportional to 152,751 and 231,666.75 is: 351,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,751 : 231,666.75 = 231,666.75 : x
  2. Step 2: Convert to fraction form
    152,751/231,666.75 = 231,666.75/x
  3. Step 3: Cross multiply
    152,751x = 231,666.75 × 231,666.75
  4. Step 4: Simplify right side
    152,751x = 53,669,483,055.56
  5. Step 5: Solve for x
    x = 53,669,483,055.56/152,751
  6. Step 6: Final answer
    x = 351,352.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.