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Finding the Third Proportional to 165.63 and 390.38

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Solution

The third proportional to 165.63 and 390.38 is: 920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.63 : 390.38 = 390.38 : x
  2. Step 2: Convert to fraction form
    165.63/390.38 = 390.38/x
  3. Step 3: Cross multiply
    165.63x = 390.38 × 390.38
  4. Step 4: Simplify right side
    165.63x = 152,392.64
  5. Step 5: Solve for x
    x = 152,392.64/165.63
  6. Step 6: Final answer
    x = 920.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.