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Finding the Third Proportional to 305.81 and 458.81

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Solution

The third proportional to 305.81 and 458.81 is: 688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.81 : 458.81 = 458.81 : x
  2. Step 2: Convert to fraction form
    305.81/458.81 = 458.81/x
  3. Step 3: Cross multiply
    305.81x = 458.81 × 458.81
  4. Step 4: Simplify right side
    305.81x = 210,508.91
  5. Step 5: Solve for x
    x = 210,508.91/305.81
  6. Step 6: Final answer
    x = 688.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.