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Finding the Third Proportional to 162,242 and 376,933

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Solution

The third proportional to 162,242 and 376,933 is: 875,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,242 : 376,933 = 376,933 : x
  2. Step 2: Convert to fraction form
    162,242/376,933 = 376,933/x
  3. Step 3: Cross multiply
    162,242x = 376,933 × 376,933
  4. Step 4: Simplify right side
    162,242x = 142,078,486,489
  5. Step 5: Solve for x
    x = 142,078,486,489/162,242
  6. Step 6: Final answer
    x = 875,719.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.