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Finding the Third Proportional to 214,500 and 326,362

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Solution

The third proportional to 214,500 and 326,362 is: 496,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,500 : 326,362 = 326,362 : x
  2. Step 2: Convert to fraction form
    214,500/326,362 = 326,362/x
  3. Step 3: Cross multiply
    214,500x = 326,362 × 326,362
  4. Step 4: Simplify right side
    214,500x = 106,512,155,044
  5. Step 5: Solve for x
    x = 106,512,155,044/214,500
  6. Step 6: Final answer
    x = 496,560.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.