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Finding the Third Proportional to 155,536.50 and 230,022

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Solution

The third proportional to 155,536.50 and 230,022 is: 340,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,536.50 : 230,022 = 230,022 : x
  2. Step 2: Convert to fraction form
    155,536.50/230,022 = 230,022/x
  3. Step 3: Cross multiply
    155,536.50x = 230,022 × 230,022
  4. Step 4: Simplify right side
    155,536.50x = 52,910,120,484
  5. Step 5: Solve for x
    x = 52,910,120,484/155,536.50
  6. Step 6: Final answer
    x = 340,178.16

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.