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Finding the Third Proportional to 193,176.28 and 283,976.29

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Solution

The third proportional to 193,176.28 and 283,976.29 is: 417,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,176.28 : 283,976.29 = 283,976.29 : x
  2. Step 2: Convert to fraction form
    193,176.28/283,976.29 = 283,976.29/x
  3. Step 3: Cross multiply
    193,176.28x = 283,976.29 × 283,976.29
  4. Step 4: Simplify right side
    193,176.28x = 80,642,533,443.01
  5. Step 5: Solve for x
    x = 80,642,533,443.01/193,176.28
  6. Step 6: Final answer
    x = 417,455.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.