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Finding the Third Proportional to 211,738 and 327,610

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Solution

The third proportional to 211,738 and 327,610 is: 506,892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,738 : 327,610 = 327,610 : x
  2. Step 2: Convert to fraction form
    211,738/327,610 = 327,610/x
  3. Step 3: Cross multiply
    211,738x = 327,610 × 327,610
  4. Step 4: Simplify right side
    211,738x = 107,328,312,100
  5. Step 5: Solve for x
    x = 107,328,312,100/211,738
  6. Step 6: Final answer
    x = 506,892.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.