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Finding the Third Proportional to 157,313.25 and 235,986.75

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Solution

The third proportional to 157,313.25 and 235,986.75 is: 354,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,313.25 : 235,986.75 = 235,986.75 : x
  2. Step 2: Convert to fraction form
    157,313.25/235,986.75 = 235,986.75/x
  3. Step 3: Cross multiply
    157,313.25x = 235,986.75 × 235,986.75
  4. Step 4: Simplify right side
    157,313.25x = 55,689,746,175.56
  5. Step 5: Solve for x
    x = 55,689,746,175.56/157,313.25
  6. Step 6: Final answer
    x = 354,005.44

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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.