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Finding the Third Proportional to 146,587.50 and 224,622

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Solution

The third proportional to 146,587.50 and 224,622 is: 344,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,587.50 : 224,622 = 224,622 : x
  2. Step 2: Convert to fraction form
    146,587.50/224,622 = 224,622/x
  3. Step 3: Cross multiply
    146,587.50x = 224,622 × 224,622
  4. Step 4: Simplify right side
    146,587.50x = 50,455,042,884
  5. Step 5: Solve for x
    x = 50,455,042,884/146,587.50
  6. Step 6: Final answer
    x = 344,197.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.