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Finding the Third Proportional to 152,755.88 and 231,673.50

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Solution

The third proportional to 152,755.88 and 231,673.50 is: 351,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,755.88 : 231,673.50 = 231,673.50 : x
  2. Step 2: Convert to fraction form
    152,755.88/231,673.50 = 231,673.50/x
  3. Step 3: Cross multiply
    152,755.88x = 231,673.50 × 231,673.50
  4. Step 4: Simplify right side
    152,755.88x = 53,672,610,602.25
  5. Step 5: Solve for x
    x = 53,672,610,602.25/152,755.88
  6. Step 6: Final answer
    x = 351,362.01

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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.