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Finding the Third Proportional to 66,676.50 and 157,387.50

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Solution

The third proportional to 66,676.50 and 157,387.50 is: 371,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,676.50 : 157,387.50 = 157,387.50 : x
  2. Step 2: Convert to fraction form
    66,676.50/157,387.50 = 157,387.50/x
  3. Step 3: Cross multiply
    66,676.50x = 157,387.50 × 157,387.50
  4. Step 4: Simplify right side
    66,676.50x = 24,770,825,156.25
  5. Step 5: Solve for x
    x = 24,770,825,156.25/66,676.50
  6. Step 6: Final answer
    x = 371,507.58

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.