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Finding the Third Proportional to 212,875 and 327,302

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Solution

The third proportional to 212,875 and 327,302 is: 503,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,875 : 327,302 = 327,302 : x
  2. Step 2: Convert to fraction form
    212,875/327,302 = 327,302/x
  3. Step 3: Cross multiply
    212,875x = 327,302 × 327,302
  4. Step 4: Simplify right side
    212,875x = 107,126,599,204
  5. Step 5: Solve for x
    x = 107,126,599,204/212,875
  6. Step 6: Final answer
    x = 503,237.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.