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Finding the Third Proportional to 273,256 and 382,118

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Solution

The third proportional to 273,256 and 382,118 is: 534,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,256 : 382,118 = 382,118 : x
  2. Step 2: Convert to fraction form
    273,256/382,118 = 382,118/x
  3. Step 3: Cross multiply
    273,256x = 382,118 × 382,118
  4. Step 4: Simplify right side
    273,256x = 146,014,165,924
  5. Step 5: Solve for x
    x = 146,014,165,924/273,256
  6. Step 6: Final answer
    x = 534,349.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.