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Finding the Third Proportional to 229,297.50 and 474,795

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Solution

The third proportional to 229,297.50 and 474,795 is: 983,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,297.50 : 474,795 = 474,795 : x
  2. Step 2: Convert to fraction form
    229,297.50/474,795 = 474,795/x
  3. Step 3: Cross multiply
    229,297.50x = 474,795 × 474,795
  4. Step 4: Simplify right side
    229,297.50x = 225,430,292,025
  5. Step 5: Solve for x
    x = 225,430,292,025/229,297.50
  6. Step 6: Final answer
    x = 983,134.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.