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Finding the Third Proportional to 182.77 and 399.70

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Solution

The third proportional to 182.77 and 399.70 is: 874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.77 : 399.70 = 399.70 : x
  2. Step 2: Convert to fraction form
    182.77/399.70 = 399.70/x
  3. Step 3: Cross multiply
    182.77x = 399.70 × 399.70
  4. Step 4: Simplify right side
    182.77x = 159,762.59
  5. Step 5: Solve for x
    x = 159,762.59/182.77
  6. Step 6: Final answer
    x = 874.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.