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Finding the Third Proportional to 181.93 and 429.36

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Solution

The third proportional to 181.93 and 429.36 is: 1,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.93 : 429.36 = 429.36 : x
  2. Step 2: Convert to fraction form
    181.93/429.36 = 429.36/x
  3. Step 3: Cross multiply
    181.93x = 429.36 × 429.36
  4. Step 4: Simplify right side
    181.93x = 184,352.83
  5. Step 5: Solve for x
    x = 184,352.83/181.93
  6. Step 6: Final answer
    x = 1,013.30

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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.