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Finding the Third Proportional to 158,857.50 and 223,875

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Solution

The third proportional to 158,857.50 and 223,875 is: 315,502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,857.50 : 223,875 = 223,875 : x
  2. Step 2: Convert to fraction form
    158,857.50/223,875 = 223,875/x
  3. Step 3: Cross multiply
    158,857.50x = 223,875 × 223,875
  4. Step 4: Simplify right side
    158,857.50x = 50,120,015,625
  5. Step 5: Solve for x
    x = 50,120,015,625/158,857.50
  6. Step 6: Final answer
    x = 315,502.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.