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Finding the Third Proportional to 184.02 and 389.55

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Solution

The third proportional to 184.02 and 389.55 is: 824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.02 : 389.55 = 389.55 : x
  2. Step 2: Convert to fraction form
    184.02/389.55 = 389.55/x
  3. Step 3: Cross multiply
    184.02x = 389.55 × 389.55
  4. Step 4: Simplify right side
    184.02x = 151,746.77
  5. Step 5: Solve for x
    x = 151,746.77/184.02
  6. Step 6: Final answer
    x = 824.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.