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Finding the Third Proportional to 165,855 and 248,522

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Solution

The third proportional to 165,855 and 248,522 is: 372,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,855 : 248,522 = 248,522 : x
  2. Step 2: Convert to fraction form
    165,855/248,522 = 248,522/x
  3. Step 3: Cross multiply
    165,855x = 248,522 × 248,522
  4. Step 4: Simplify right side
    165,855x = 61,763,184,484
  5. Step 5: Solve for x
    x = 61,763,184,484/165,855
  6. Step 6: Final answer
    x = 372,392.66

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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.