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Finding the Third Proportional to 212,456 and 326,112

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Solution

The third proportional to 212,456 and 326,112 is: 500,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,456 : 326,112 = 326,112 : x
  2. Step 2: Convert to fraction form
    212,456/326,112 = 326,112/x
  3. Step 3: Cross multiply
    212,456x = 326,112 × 326,112
  4. Step 4: Simplify right side
    212,456x = 106,349,036,544
  5. Step 5: Solve for x
    x = 106,349,036,544/212,456
  6. Step 6: Final answer
    x = 500,569.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.